{
  "nbformat": 4,
  "nbformat_minor": 0,
  "metadata": {
    "colab": {
      "name": "Model-based predictions of Covid-19 spread on Metaculus",
      "provenance": [],
      "collapsed_sections": [
        "lqsGCK-lclRH"
      ],
      "authorship_tag": "ABX9TyPdNRPsebLOYQSi4YjOLoTo",
      "include_colab_link": true
    },
    "kernelspec": {
      "name": "python3",
      "display_name": "Python 3"
    }
  },
  "cells": [
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "view-in-github",
        "colab_type": "text"
      },
      "source": [
        "<a href=\"https://colab.research.google.com/github/oughtinc/ergo/blob/notebooks-readme/notebooks/covid-19-metaculus.ipynb\" target=\"_parent\"><img src=\"https://colab.research.google.com/assets/colab-badge.svg\" alt=\"Open In Colab\"/></a>"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "lqsGCK-lclRH",
        "colab_type": "text"
      },
      "source": [
        "# Setup"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "pQ6nYmLBcnpz",
        "colab_type": "text"
      },
      "source": [
        "Install [Ergo](https://github.com/oughtinc/ergo) (our forecasting library) and a few tools we'll use in this colab:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "u5-EaP2LUfBG",
        "colab_type": "code",
        "outputId": "bc1e1fd8-16c1-44b9-efa8-2763777aebba",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 340
        }
      },
      "source": [
        "!pip install --quiet poetry  # Fixes https://github.com/python-poetry/poetry/issues/532\n",
        "!pip install --quiet git+https://github.com/oughtinc/ergo.git@6396f5ec4a73a18d36faa1651b1cd9ad852f916e\n",
        "!pip install --quiet pendulum seaborn"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "\u001b[K     |████████████████████████████████| 225kB 1.4MB/s \n",
            "\u001b[K     |████████████████████████████████| 61kB 3.8MB/s \n",
            "\u001b[K     |████████████████████████████████| 61kB 3.1MB/s \n",
            "\u001b[K     |████████████████████████████████| 92kB 3.5MB/s \n",
            "\u001b[K     |████████████████████████████████| 112kB 5.8MB/s \n",
            "\u001b[K     |████████████████████████████████| 2.7MB 4.1MB/s \n",
            "\u001b[?25h  Building wheel for pyrsistent (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "  Installing build dependencies ... \u001b[?25l\u001b[?25hdone\n",
            "  Getting requirements to build wheel ... \u001b[?25l\u001b[?25hdone\n",
            "    Preparing wheel metadata ... \u001b[?25l\u001b[?25hdone\n",
            "\u001b[K     |████████████████████████████████| 153kB 1.4MB/s \n",
            "\u001b[K     |████████████████████████████████| 29.3MB 145kB/s \n",
            "\u001b[K     |████████████████████████████████| 61kB 6.7MB/s \n",
            "\u001b[K     |████████████████████████████████| 51kB 5.9MB/s \n",
            "\u001b[K     |████████████████████████████████| 501kB 52.6MB/s \n",
            "\u001b[K     |████████████████████████████████| 491kB 52.4MB/s \n",
            "\u001b[?25h  Building wheel for ergo (PEP 517) ... \u001b[?25l\u001b[?25hdone\n",
            "  Building wheel for country-converter (setup.py) ... \u001b[?25l\u001b[?25hdone\n",
            "\u001b[31mERROR: chainer 6.5.0 has requirement typing-extensions<=3.6.6, but you'll have typing-extensions 3.7.4.2 which is incompatible.\u001b[0m\n"
          ],
          "name": "stdout"
        }
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "yXEnMn86brxn",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "%load_ext google.colab.data_table"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "uwSj6D6oV-bL",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "import re\n",
        "import ergo\n",
        "import pendulum\n",
        "import pandas\n",
        "import seaborn\n",
        "\n",
        "from ergo import logistic\n",
        "\n",
        "from types import SimpleNamespace\n",
        "from typing import List\n",
        "from pendulum import DateTime\n",
        "from matplotlib import pyplot"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "nHHBWKUAaLAE",
        "colab_type": "text"
      },
      "source": [
        "# Questions"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "GYW08eB7aVpY",
        "colab_type": "text"
      },
      "source": [
        "Here are Metaculus ids for the questions we'll load, and some short names that will allow us to associate questions with variables in our model:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2eluOE9zaLI-",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "question_ids = [3704, 3712, 3713, 3711, 3722, 3761, 3705, 3706]\n",
        "question_names = [\n",
        "  \"WHO Eastern Mediterranean Region on 2020/03/27\",\n",
        "  \"WHO Region of the Americas on 2020/03/27\",\n",
        "  \"WHO Western Pacific Region on 2020/03/27\",\n",
        "  \"WHO South-East Asia Region on 2020/03/27\",\n",
        "  \"South Korea on 2020/03/27\",\n",
        "  \"United Kingdom on 2020/03/27\",\n",
        "  \"WHO African Region on 2020/03/27\",\n",
        "  \"WHO European Region on 2020/03/27\"\n",
        "]"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "vjyK02LqaZxc",
        "colab_type": "text"
      },
      "source": [
        "We load the question data from Metaculus:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "Q1TM8scJac-o",
        "colab_type": "code",
        "outputId": "67d0ae86-1d56-4bcd-9923-22368881d231",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 256
        }
      },
      "source": [
        "metaculus = ergo.Metaculus(username=\"ought\", password=\"\")\n",
        "questions = [metaculus.get_question(id, name=name) for id, name in zip(question_ids, question_names)]\n",
        "ergo.MetaculusQuestion.to_dataframe(questions)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "application/vnd.google.colaboratory.module+javascript": "\n      import \"https://ssl.gstatic.com/colaboratory/data_table/84ef27dae82052e3/data_table.js\";\n\n      window.createDataTable({\n        data: [[{\n            'v': 0,\n            'f': \"0\",\n        },\n{\n            'v': 3704,\n            'f': \"3704\",\n        },\n\"WHO Eastern Mediterranean Region on 2020/03/27\",\n\"How many total confirmed cases of novel coronavirus will be reported in the WHO East Mediterranean region by March 27?\",\n\"2020-03-27 09:00:00+00:00\"],\n [{\n            'v': 1,\n            'f': \"1\",\n        },\n{\n            'v': 3712,\n            'f': \"3712\",\n        },\n\"WHO Region of the Americas on 2020/03/27\",\n\"How many total confirmed cases of novel coronavirus will be reported in the WHO Region of the Americas by March 27?\",\n\"2020-03-27 21:37:00+00:00\"],\n [{\n            'v': 2,\n            'f': \"2\",\n        },\n{\n            'v': 3713,\n            'f': \"3713\",\n        },\n\"WHO Western Pacific Region on 2020/03/27\",\n\"How many total confirmed cases of novel coronavirus will be reported in the WHO Western Pacific Region, outside of China and Taiwan, by March 27?\",\n\"2020-03-27 09:00:00+00:00\"],\n [{\n            'v': 3,\n            'f': \"3\",\n        },\n{\n            'v': 3711,\n            'f': \"3711\",\n        },\n\"WHO South-East Asia Region on 2020/03/27\",\n\"How many total confirmed cases of novel coronavirus will be reported in the WHO South-East Asia Region by March 27?\",\n\"2020-03-27 21:43:00+00:00\"],\n [{\n            'v': 4,\n            'f': \"4\",\n        },\n{\n            'v': 3722,\n            'f': \"3722\",\n        },\n\"South Korea on 2020/03/27\",\n\"How many COVID-2019 cases in South Korea will be confirmed on March the 27th?\",\n\"2020-03-27 21:41:00+00:00\"],\n [{\n            'v': 5,\n            'f': \"5\",\n        },\n{\n            'v': 3761,\n            'f': \"3761\",\n        },\n\"United Kingdom on 2020/03/27\",\n\"How many COVID-2019 cases in the United Kingdom will be confirmed on March the 27th?\",\n\"2020-03-27 09:00:00+00:00\"],\n [{\n            'v': 6,\n            'f': \"6\",\n        },\n{\n            'v': 3705,\n            'f': \"3705\",\n        },\n\"WHO African Region on 2020/03/27\",\n\"How many total confirmed cases of novel coronavirus will be reported in the WHO African region by March 27?\",\n\"2020-03-27 09:00:00+00:00\"],\n [{\n            'v': 7,\n            'f': \"7\",\n        },\n{\n            'v': 3706,\n            'f': \"3706\",\n        },\n\"WHO European Region on 2020/03/27\",\n\"How many total confirmed cases of novel coronavirus will be reported in the WHO European region by March 27?\",\n\"2020-03-27 09:00:00+00:00\"]],\n        columns: [[\"number\", \"index\"], [\"number\", \"id\"], [\"string\", \"name\"], [\"string\", \"title\"], [\"string\", \"resolve_time\"]],\n        columnOptions: [{\"width\": \"1px\", \"className\": \"index_column\"}],\n        rowsPerPage: 25,\n        helpUrl: \"https://colab.research.google.com/notebooks/data_table.ipynb\",\n        suppressOutputScrolling: true,\n      });\n    ",
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
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              "\n",
              "    .dataframe tbody tr th {\n",
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              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>id</th>\n",
              "      <th>name</th>\n",
              "      <th>title</th>\n",
              "      <th>resolve_time</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>3704</td>\n",
              "      <td>WHO Eastern Mediterranean Region on 2020/03/27</td>\n",
              "      <td>How many total confirmed cases of novel corona...</td>\n",
              "      <td>2020-03-27 09:00:00+00:00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>3712</td>\n",
              "      <td>WHO Region of the Americas on 2020/03/27</td>\n",
              "      <td>How many total confirmed cases of novel corona...</td>\n",
              "      <td>2020-03-27 21:37:00+00:00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>3713</td>\n",
              "      <td>WHO Western Pacific Region on 2020/03/27</td>\n",
              "      <td>How many total confirmed cases of novel corona...</td>\n",
              "      <td>2020-03-27 09:00:00+00:00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>3711</td>\n",
              "      <td>WHO South-East Asia Region on 2020/03/27</td>\n",
              "      <td>How many total confirmed cases of novel corona...</td>\n",
              "      <td>2020-03-27 21:43:00+00:00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>3722</td>\n",
              "      <td>South Korea on 2020/03/27</td>\n",
              "      <td>How many COVID-2019 cases in South Korea will ...</td>\n",
              "      <td>2020-03-27 21:41:00+00:00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>5</th>\n",
              "      <td>3761</td>\n",
              "      <td>United Kingdom on 2020/03/27</td>\n",
              "      <td>How many COVID-2019 cases in the United Kingdo...</td>\n",
              "      <td>2020-03-27 09:00:00+00:00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>6</th>\n",
              "      <td>3705</td>\n",
              "      <td>WHO African Region on 2020/03/27</td>\n",
              "      <td>How many total confirmed cases of novel corona...</td>\n",
              "      <td>2020-03-27 09:00:00+00:00</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>7</th>\n",
              "      <td>3706</td>\n",
              "      <td>WHO European Region on 2020/03/27</td>\n",
              "      <td>How many total confirmed cases of novel corona...</td>\n",
              "      <td>2020-03-27 09:00:00+00:00</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "     id  ...              resolve_time\n",
              "0  3704  ... 2020-03-27 09:00:00+00:00\n",
              "1  3712  ... 2020-03-27 21:37:00+00:00\n",
              "2  3713  ... 2020-03-27 09:00:00+00:00\n",
              "3  3711  ... 2020-03-27 21:43:00+00:00\n",
              "4  3722  ... 2020-03-27 21:41:00+00:00\n",
              "5  3761  ... 2020-03-27 09:00:00+00:00\n",
              "6  3705  ... 2020-03-27 09:00:00+00:00\n",
              "7  3706  ... 2020-03-27 09:00:00+00:00\n",
              "\n",
              "[8 rows x 4 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 5
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "x1sTKe-l8RL2",
        "colab_type": "text"
      },
      "source": [
        "# Data"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3IgdNojqA681",
        "colab_type": "text"
      },
      "source": [
        "Our most important data is the data about confirmed cases (from Hopkins):"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "2_pf1up78RT0",
        "colab_type": "code",
        "outputId": "a70ce183-4f66-4210-830a-f65cb43d68e9",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 51
        }
      },
      "source": [
        "confirmed_infections = ergo.data.covid19.ConfirmedInfections()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "WARNING:root:Diamond Princess not found in regex\n",
            "WARNING:root:MS Zaandam not found in regex\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "gffrBMP5aq_E",
        "colab_type": "text"
      },
      "source": [
        "# Assumptions"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "VDtP45oi8Vc1",
        "colab_type": "text"
      },
      "source": [
        "Assumptions are things that should be inferred from data but currently aren't:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "lVU5gNfb_zz3",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "assumptions = SimpleNamespace()"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "ZF5JA81I_8ef",
        "colab_type": "text"
      },
      "source": [
        "We'll manually add some data about [doubling times](https://ourworldindata.org/coronavirus#the-growth-rate-of-covid-19-deaths) (in days):"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "9Vj1KFpA_4h3",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "assumptions.doubling_time = {\n",
        "  \"World\": 8,\n",
        "  \"China\": 33,\n",
        "  \"Italy\": 4,\n",
        "  \"Iran\": 5,\n",
        "  \"Spain\": 3,\n",
        "  \"France\": 4,\n",
        "  \"United States\": 3,\n",
        "  \"United Kingdom\": 3,\n",
        "  \"South Korea\": 12,\n",
        "  \"Netherlands\": 1,\n",
        "  \"Japan\": 8,\n",
        "  \"Switzerland\": 5,\n",
        "  \"Philippines\": 4,\n",
        "  \"Belgium\": 1,\n",
        "  \"San Marino\": 3,\n",
        "  \"Germany\": 5,\n",
        "  \"Iraq\": 8,\n",
        "  \"Sweden\": 3,\n",
        "  \"Canada\": 2,\n",
        "  \"Algeria\": 4,\n",
        "  \"Australia\": 4,\n",
        "  \"Egypt\": 2,\n",
        "  \"Greece\": 5,\n",
        "  \"Indonesia\": 7,\n",
        "  \"Poland\": 5\n",
        "}"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "EPmq0uyC2X_u",
        "colab_type": "text"
      },
      "source": [
        "To estimate doubling times for places where we don't have data we'll specify which places are similar to which other places:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "0FKIPRXd2YH3",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "assumptions.similar_areas = {\n",
        "  \"Bay Area\": [\"United States\", \"Italy\"],\n",
        "  \"San Francisco\": [\"United States\", \"Italy\"],\n",
        "  \"WHO Eastern Mediterranean Region\": [\"Iraq\", \"Iran\"],\n",
        "  \"WHO Region of the Americas\": [\"United States\"],\n",
        "  \"WHO Western Pacific Region\": [\"United States\", \"Italy\", \"Spain\", \"South Korea\"],\n",
        "  \"WHO South-East Asia Region\": [\"South Korea\", \"China\", \"Japan\", \"Philippines\", \"Indonesia\"],\n",
        "  \"South Korea\": [\"South Korea\"],\n",
        "  \"United Kingdom\": [\"United Kingdom\"],\n",
        "  \"WHO African Region\": [\"Algeria\"],\n",
        "  \"WHO European Region\": [\"Italy\", \"Spain\",\"France\",\"Germany\",\"Greece\"], # \"Belgium\",\n",
        "}"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Iotq1zz_bi5d",
        "colab_type": "text"
      },
      "source": [
        "# Model"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "zNzoy6sKwHoV",
        "colab_type": "text"
      },
      "source": [
        "Main model:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "VWYcxRL-wH3Q",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "Area = str\n",
        "\n",
        "def get_doubling_time(area: Area):\n",
        "  similar_areas = assumptions.similar_areas[area]\n",
        "  doubling_times = [assumptions.doubling_time[proxy] for proxy in similar_areas]\n",
        "  proxy_doubling_time = ergo.random_choice(doubling_times)\n",
        "  doubling_time = ergo.lognormal_from_interval(proxy_doubling_time - 0.5, proxy_doubling_time + 0.5)\n",
        "  return doubling_time\n",
        "\n",
        "def model(start: DateTime, end: DateTime, areas: List[Area]):\n",
        "  for area in areas:\n",
        "    doubling_time = get_doubling_time(area)\n",
        "    confirmed = confirmed_infections(area, start)\n",
        "    for i in range((end - start).days):\n",
        "      date = start.add(days=i)\n",
        "      confirmed = confirmed * 2**(1 / doubling_time)\n",
        "      ergo.tag(confirmed, f\"{area} on {date.format('YYYY/MM/DD')}\")"
      ],
      "execution_count": 0,
      "outputs": []
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "wUalPuTawICl",
        "colab_type": "text"
      },
      "source": [
        "Run the model:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "10NvnBSt58cI",
        "colab_type": "code",
        "outputId": "f85be2c1-b6c2-4b34-bdca-fadc3c8741a4",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 34
        }
      },
      "source": [
        "# Model parameters\n",
        "start_date = pendulum.now(tz=\"US/Pacific\").subtract(days = 10)\n",
        "end_date = max(question.resolve_time for question in questions).add(days = 3)\n",
        "areas = [re.match(\"(.*)? on\", name).groups()[0] for name in question_names]\n",
        "\n",
        "# Get samples from model for all variables\n",
        "samples = ergo.run(lambda: model(start_date, end_date, areas), num_samples=5000)"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "stream",
          "text": [
            "100%|██████████| 5000/5000 [01:08<00:00, 73.24it/s]\n"
          ],
          "name": "stderr"
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "3WYLU8uTb48A",
        "colab_type": "text"
      },
      "source": [
        "# Analysis"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "NXGYbvcMv26l",
        "colab_type": "text"
      },
      "source": [
        "Look at raw samples from the model:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "SRYBVrngv3Bf",
        "colab_type": "code",
        "outputId": "1d1bb604-2415-4b33-95e0-f327ce4d4406",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 507
        }
      },
      "source": [
        "samples"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
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              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>WHO Eastern Mediterranean Region on 2020/03/23</th>\n",
              "      <th>WHO Eastern Mediterranean Region on 2020/03/24</th>\n",
              "      <th>WHO Eastern Mediterranean Region on 2020/03/25</th>\n",
              "      <th>WHO Eastern Mediterranean Region on 2020/03/26</th>\n",
              "      <th>WHO Eastern Mediterranean Region on 2020/03/27</th>\n",
              "      <th>WHO Eastern Mediterranean Region on 2020/03/28</th>\n",
              "      <th>WHO Region of the Americas on 2020/03/23</th>\n",
              "      <th>WHO Region of the Americas on 2020/03/24</th>\n",
              "      <th>WHO Region of the Americas on 2020/03/25</th>\n",
              "      <th>WHO Region of the Americas on 2020/03/26</th>\n",
              "      <th>WHO Region of the Americas on 2020/03/27</th>\n",
              "      <th>WHO Region of the Americas on 2020/03/28</th>\n",
              "      <th>WHO Western Pacific Region on 2020/03/23</th>\n",
              "      <th>WHO Western Pacific Region on 2020/03/24</th>\n",
              "      <th>WHO Western Pacific Region on 2020/03/25</th>\n",
              "      <th>WHO Western Pacific Region on 2020/03/26</th>\n",
              "      <th>WHO Western Pacific Region on 2020/03/27</th>\n",
              "      <th>WHO Western Pacific Region on 2020/03/28</th>\n",
              "      <th>WHO South-East Asia Region on 2020/03/23</th>\n",
              "      <th>WHO South-East Asia Region on 2020/03/24</th>\n",
              "      <th>WHO South-East Asia Region on 2020/03/25</th>\n",
              "      <th>WHO South-East Asia Region on 2020/03/26</th>\n",
              "      <th>WHO South-East Asia Region on 2020/03/27</th>\n",
              "      <th>WHO South-East Asia Region on 2020/03/28</th>\n",
              "      <th>South Korea on 2020/03/23</th>\n",
              "      <th>South Korea on 2020/03/24</th>\n",
              "      <th>South Korea on 2020/03/25</th>\n",
              "      <th>South Korea on 2020/03/26</th>\n",
              "      <th>South Korea on 2020/03/27</th>\n",
              "      <th>South Korea on 2020/03/28</th>\n",
              "      <th>United Kingdom on 2020/03/23</th>\n",
              "      <th>United Kingdom on 2020/03/24</th>\n",
              "      <th>United Kingdom on 2020/03/25</th>\n",
              "      <th>United Kingdom on 2020/03/26</th>\n",
              "      <th>United Kingdom on 2020/03/27</th>\n",
              "      <th>United Kingdom on 2020/03/28</th>\n",
              "      <th>WHO African Region on 2020/03/23</th>\n",
              "      <th>WHO African Region on 2020/03/24</th>\n",
              "      <th>WHO African Region on 2020/03/25</th>\n",
              "      <th>WHO African Region on 2020/03/26</th>\n",
              "      <th>WHO African Region on 2020/03/27</th>\n",
              "      <th>WHO African Region on 2020/03/28</th>\n",
              "      <th>WHO European Region on 2020/03/23</th>\n",
              "      <th>WHO European Region on 2020/03/24</th>\n",
              "      <th>WHO European Region on 2020/03/25</th>\n",
              "      <th>WHO European Region on 2020/03/26</th>\n",
              "      <th>WHO European Region on 2020/03/27</th>\n",
              "      <th>WHO European Region on 2020/03/28</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>0</th>\n",
              "      <td>31284.689453</td>\n",
              "      <td>36086.269531</td>\n",
              "      <td>41624.796875</td>\n",
              "      <td>48013.378906</td>\n",
              "      <td>55382.480469</td>\n",
              "      <td>63882.593750</td>\n",
              "      <td>66987.906250</td>\n",
              "      <td>86065.695312</td>\n",
              "      <td>110576.734375</td>\n",
              "      <td>142068.390625</td>\n",
              "      <td>182528.703125</td>\n",
              "      <td>234511.890625</td>\n",
              "      <td>17301.283203</td>\n",
              "      <td>20394.792969</td>\n",
              "      <td>24041.429688</td>\n",
              "      <td>28340.093750</td>\n",
              "      <td>33407.371094</td>\n",
              "      <td>39380.687500</td>\n",
              "      <td>2343.000732</td>\n",
              "      <td>2819.544189</td>\n",
              "      <td>3393.011963</td>\n",
              "      <td>4083.117432</td>\n",
              "      <td>4913.583496</td>\n",
              "      <td>5912.958496</td>\n",
              "      <td>9475.372070</td>\n",
              "      <td>10019.269531</td>\n",
              "      <td>10594.387695</td>\n",
              "      <td>11202.517578</td>\n",
              "      <td>11845.555664</td>\n",
              "      <td>12525.504883</td>\n",
              "      <td>8016.653809</td>\n",
              "      <td>9554.971680</td>\n",
              "      <td>11388.477539</td>\n",
              "      <td>13573.815430</td>\n",
              "      <td>16178.498047</td>\n",
              "      <td>19282.994141</td>\n",
              "      <td>1415.350952</td>\n",
              "      <td>1650.097412</td>\n",
              "      <td>1923.778320</td>\n",
              "      <td>2242.851318</td>\n",
              "      <td>2614.844971</td>\n",
              "      <td>3048.536377</td>\n",
              "      <td>237329.953125</td>\n",
              "      <td>283584.28125</td>\n",
              "      <td>338853.31250</td>\n",
              "      <td>404893.96875</td>\n",
              "      <td>483805.59375</td>\n",
              "      <td>578096.68750</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>1</th>\n",
              "      <td>29549.523438</td>\n",
              "      <td>32194.320312</td>\n",
              "      <td>35075.835938</td>\n",
              "      <td>38215.257812</td>\n",
              "      <td>41635.671875</td>\n",
              "      <td>45362.226562</td>\n",
              "      <td>63345.941406</td>\n",
              "      <td>76961.742188</td>\n",
              "      <td>93504.171875</td>\n",
              "      <td>113602.289062</td>\n",
              "      <td>138020.359375</td>\n",
              "      <td>167686.937500</td>\n",
              "      <td>17154.404297</td>\n",
              "      <td>20049.982422</td>\n",
              "      <td>23434.318359</td>\n",
              "      <td>27389.914062</td>\n",
              "      <td>32013.193359</td>\n",
              "      <td>37416.859375</td>\n",
              "      <td>1988.752075</td>\n",
              "      <td>2031.399536</td>\n",
              "      <td>2074.961426</td>\n",
              "      <td>2119.457520</td>\n",
              "      <td>2164.907959</td>\n",
              "      <td>2211.333008</td>\n",
              "      <td>9491.422852</td>\n",
              "      <td>10053.243164</td>\n",
              "      <td>10648.319336</td>\n",
              "      <td>11278.619141</td>\n",
              "      <td>11946.227539</td>\n",
              "      <td>12653.353516</td>\n",
              "      <td>8948.615234</td>\n",
              "      <td>11905.696289</td>\n",
              "      <td>15839.948242</td>\n",
              "      <td>21074.279297</td>\n",
              "      <td>28038.300781</td>\n",
              "      <td>37303.593750</td>\n",
              "      <td>1437.368408</td>\n",
              "      <td>1701.835083</td>\n",
              "      <td>2014.962036</td>\n",
              "      <td>2385.702393</td>\n",
              "      <td>2824.656494</td>\n",
              "      <td>3344.375488</td>\n",
              "      <td>228382.687500</td>\n",
              "      <td>262605.25000</td>\n",
              "      <td>301955.96875</td>\n",
              "      <td>347203.28125</td>\n",
              "      <td>399230.78125</td>\n",
              "      <td>459054.46875</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>2</th>\n",
              "      <td>31013.890625</td>\n",
              "      <td>35464.250000</td>\n",
              "      <td>40553.214844</td>\n",
              "      <td>46372.425781</td>\n",
              "      <td>53026.667969</td>\n",
              "      <td>60635.765625</td>\n",
              "      <td>64775.937500</td>\n",
              "      <td>80475.687500</td>\n",
              "      <td>99980.593750</td>\n",
              "      <td>124212.906250</td>\n",
              "      <td>154318.406250</td>\n",
              "      <td>191720.578125</td>\n",
              "      <td>17435.996094</td>\n",
              "      <td>20713.630859</td>\n",
              "      <td>24607.398438</td>\n",
              "      <td>29233.119141</td>\n",
              "      <td>34728.386719</td>\n",
              "      <td>41256.660156</td>\n",
              "      <td>1988.107788</td>\n",
              "      <td>2030.083496</td>\n",
              "      <td>2072.945557</td>\n",
              "      <td>2116.712402</td>\n",
              "      <td>2161.403320</td>\n",
              "      <td>2207.037842</td>\n",
              "      <td>9500.553711</td>\n",
              "      <td>10072.594727</td>\n",
              "      <td>10679.079102</td>\n",
              "      <td>11322.080078</td>\n",
              "      <td>12003.796875</td>\n",
              "      <td>12726.561523</td>\n",
              "      <td>8191.193359</td>\n",
              "      <td>9975.564453</td>\n",
              "      <td>12148.643555</td>\n",
              "      <td>14795.106445</td>\n",
              "      <td>18018.076172</td>\n",
              "      <td>21943.136719</td>\n",
              "      <td>1436.707153</td>\n",
              "      <td>1700.269653</td>\n",
              "      <td>2012.182495</td>\n",
              "      <td>2381.315430</td>\n",
              "      <td>2818.165527</td>\n",
              "      <td>3335.155273</td>\n",
              "      <td>233761.734375</td>\n",
              "      <td>275121.06250</td>\n",
              "      <td>323798.09375</td>\n",
              "      <td>381087.53125</td>\n",
              "      <td>448513.15625</td>\n",
              "      <td>527868.37500</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>3</th>\n",
              "      <td>31200.568359</td>\n",
              "      <td>35892.464844</td>\n",
              "      <td>41289.921875</td>\n",
              "      <td>47499.042969</td>\n",
              "      <td>54641.882812</td>\n",
              "      <td>62858.851562</td>\n",
              "      <td>67609.257812</td>\n",
              "      <td>87669.718750</td>\n",
              "      <td>113682.359375</td>\n",
              "      <td>147413.250000</td>\n",
              "      <td>191152.500000</td>\n",
              "      <td>247869.703125</td>\n",
              "      <td>15558.686523</td>\n",
              "      <td>16493.337891</td>\n",
              "      <td>17484.136719</td>\n",
              "      <td>18534.455078</td>\n",
              "      <td>19647.869141</td>\n",
              "      <td>20828.167969</td>\n",
              "      <td>2362.387939</td>\n",
              "      <td>2866.397949</td>\n",
              "      <td>3477.937256</td>\n",
              "      <td>4219.947266</td>\n",
              "      <td>5120.263184</td>\n",
              "      <td>6212.659180</td>\n",
              "      <td>9506.293945</td>\n",
              "      <td>10084.770508</td>\n",
              "      <td>10698.448242</td>\n",
              "      <td>11349.469727</td>\n",
              "      <td>12040.106445</td>\n",
              "      <td>12772.770508</td>\n",
              "      <td>8586.582031</td>\n",
              "      <td>10961.847656</td>\n",
              "      <td>13994.171875</td>\n",
              "      <td>17865.314453</td>\n",
              "      <td>22807.312500</td>\n",
              "      <td>29116.392578</td>\n",
              "      <td>1435.331543</td>\n",
              "      <td>1697.015381</td>\n",
              "      <td>2006.408325</td>\n",
              "      <td>2372.208496</td>\n",
              "      <td>2804.699951</td>\n",
              "      <td>3316.041504</td>\n",
              "      <td>228725.703125</td>\n",
              "      <td>263394.65625</td>\n",
              "      <td>303318.53125</td>\n",
              "      <td>349293.84375</td>\n",
              "      <td>402237.84375</td>\n",
              "      <td>463206.78125</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4</th>\n",
              "      <td>29549.738281</td>\n",
              "      <td>32194.787109</td>\n",
              "      <td>35076.597656</td>\n",
              "      <td>38216.367188</td>\n",
              "      <td>41637.179688</td>\n",
              "      <td>45364.195312</td>\n",
              "      <td>65097.351562</td>\n",
              "      <td>81276.304688</td>\n",
              "      <td>101476.281250</td>\n",
              "      <td>126696.656250</td>\n",
              "      <td>158185.171875</td>\n",
              "      <td>197499.671875</td>\n",
              "      <td>17780.722656</td>\n",
              "      <td>21540.785156</td>\n",
              "      <td>26095.982422</td>\n",
              "      <td>31614.458984</td>\n",
              "      <td>38299.917969</td>\n",
              "      <td>46399.140625</td>\n",
              "      <td>2297.630615</td>\n",
              "      <td>2711.405518</td>\n",
              "      <td>3199.696289</td>\n",
              "      <td>3775.922119</td>\n",
              "      <td>4455.919434</td>\n",
              "      <td>5258.375488</td>\n",
              "      <td>9477.523438</td>\n",
              "      <td>10023.820312</td>\n",
              "      <td>10601.606445</td>\n",
              "      <td>11212.696289</td>\n",
              "      <td>11859.010742</td>\n",
              "      <td>12542.579102</td>\n",
              "      <td>8589.861328</td>\n",
              "      <td>10970.222656</td>\n",
              "      <td>14010.211914</td>\n",
              "      <td>17892.621094</td>\n",
              "      <td>22850.896484</td>\n",
              "      <td>29183.173828</td>\n",
              "      <td>1405.284546</td>\n",
              "      <td>1626.708862</td>\n",
              "      <td>1883.021973</td>\n",
              "      <td>2179.721191</td>\n",
              "      <td>2523.169922</td>\n",
              "      <td>2920.734375</td>\n",
              "      <td>257945.187500</td>\n",
              "      <td>334990.03125</td>\n",
              "      <td>435047.15625</td>\n",
              "      <td>564990.00000</td>\n",
              "      <td>733745.06250</td>\n",
              "      <td>952905.06250</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>...</th>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "      <td>...</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4995</th>\n",
              "      <td>31184.136719</td>\n",
              "      <td>35854.671875</td>\n",
              "      <td>41224.726562</td>\n",
              "      <td>47399.066406</td>\n",
              "      <td>54498.156250</td>\n",
              "      <td>62660.496094</td>\n",
              "      <td>65195.523438</td>\n",
              "      <td>81521.632812</td>\n",
              "      <td>101936.085938</td>\n",
              "      <td>127462.671875</td>\n",
              "      <td>159381.562500</td>\n",
              "      <td>199293.515625</td>\n",
              "      <td>18632.978516</td>\n",
              "      <td>23655.234375</td>\n",
              "      <td>30031.169922</td>\n",
              "      <td>38125.648438</td>\n",
              "      <td>48401.878906</td>\n",
              "      <td>61447.921875</td>\n",
              "      <td>2116.868652</td>\n",
              "      <td>2301.557617</td>\n",
              "      <td>2502.360107</td>\n",
              "      <td>2720.681885</td>\n",
              "      <td>2958.051270</td>\n",
              "      <td>3216.130371</td>\n",
              "      <td>9486.152344</td>\n",
              "      <td>10042.081055</td>\n",
              "      <td>10630.589844</td>\n",
              "      <td>11253.587891</td>\n",
              "      <td>11913.095703</td>\n",
              "      <td>12611.253906</td>\n",
              "      <td>8717.808594</td>\n",
              "      <td>11299.462891</td>\n",
              "      <td>14645.636719</td>\n",
              "      <td>18982.732422</td>\n",
              "      <td>24604.197266</td>\n",
              "      <td>31890.376953</td>\n",
              "      <td>1426.238647</td>\n",
              "      <td>1675.582153</td>\n",
              "      <td>1968.517334</td>\n",
              "      <td>2312.665283</td>\n",
              "      <td>2716.979004</td>\n",
              "      <td>3191.977295</td>\n",
              "      <td>238944.234375</td>\n",
              "      <td>287455.15625</td>\n",
              "      <td>345814.87500</td>\n",
              "      <td>416022.90625</td>\n",
              "      <td>500484.71875</td>\n",
              "      <td>602094.12500</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4996</th>\n",
              "      <td>30725.634766</td>\n",
              "      <td>34808.074219</td>\n",
              "      <td>39432.937500</td>\n",
              "      <td>44672.296875</td>\n",
              "      <td>50607.796875</td>\n",
              "      <td>57331.933594</td>\n",
              "      <td>68211.414062</td>\n",
              "      <td>89238.328125</td>\n",
              "      <td>116747.015625</td>\n",
              "      <td>152735.562500</td>\n",
              "      <td>199817.968750</td>\n",
              "      <td>261414.046875</td>\n",
              "      <td>15590.126953</td>\n",
              "      <td>16560.064453</td>\n",
              "      <td>17590.345703</td>\n",
              "      <td>18684.726562</td>\n",
              "      <td>19847.193359</td>\n",
              "      <td>21081.984375</td>\n",
              "      <td>2062.971680</td>\n",
              "      <td>2185.851318</td>\n",
              "      <td>2316.050049</td>\n",
              "      <td>2454.004150</td>\n",
              "      <td>2600.175293</td>\n",
              "      <td>2755.052979</td>\n",
              "      <td>9489.223633</td>\n",
              "      <td>10048.584961</td>\n",
              "      <td>10640.918945</td>\n",
              "      <td>11268.168945</td>\n",
              "      <td>11932.393555</td>\n",
              "      <td>12635.771484</td>\n",
              "      <td>8294.733398</td>\n",
              "      <td>10229.348633</td>\n",
              "      <td>12615.182617</td>\n",
              "      <td>15557.474609</td>\n",
              "      <td>19186.009766</td>\n",
              "      <td>23660.841797</td>\n",
              "      <td>1435.898193</td>\n",
              "      <td>1698.355469</td>\n",
              "      <td>2008.785400</td>\n",
              "      <td>2375.956543</td>\n",
              "      <td>2810.240234</td>\n",
              "      <td>3323.903320</td>\n",
              "      <td>252141.968750</td>\n",
              "      <td>320086.43750</td>\n",
              "      <td>406339.84375</td>\n",
              "      <td>515835.90625</td>\n",
              "      <td>654837.75000</td>\n",
              "      <td>831296.31250</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4997</th>\n",
              "      <td>30979.730469</td>\n",
              "      <td>35386.171875</td>\n",
              "      <td>40419.367188</td>\n",
              "      <td>46168.464844</td>\n",
              "      <td>52735.292969</td>\n",
              "      <td>60236.164062</td>\n",
              "      <td>66322.265625</td>\n",
              "      <td>84363.773438</td>\n",
              "      <td>107313.078125</td>\n",
              "      <td>136505.234375</td>\n",
              "      <td>173638.468750</td>\n",
              "      <td>220872.984375</td>\n",
              "      <td>18631.679688</td>\n",
              "      <td>23651.937500</td>\n",
              "      <td>30024.892578</td>\n",
              "      <td>38115.023438</td>\n",
              "      <td>48385.019531</td>\n",
              "      <td>61422.238281</td>\n",
              "      <td>2122.791016</td>\n",
              "      <td>2314.453857</td>\n",
              "      <td>2523.421631</td>\n",
              "      <td>2751.256836</td>\n",
              "      <td>2999.662842</td>\n",
              "      <td>3270.496826</td>\n",
              "      <td>9459.150391</td>\n",
              "      <td>9984.994141</td>\n",
              "      <td>10540.069336</td>\n",
              "      <td>11126.001953</td>\n",
              "      <td>11744.507812</td>\n",
              "      <td>12397.396484</td>\n",
              "      <td>8499.242188</td>\n",
              "      <td>10739.981445</td>\n",
              "      <td>13571.469727</td>\n",
              "      <td>17149.451172</td>\n",
              "      <td>21670.730469</td>\n",
              "      <td>27384.000000</td>\n",
              "      <td>1459.043701</td>\n",
              "      <td>1753.548950</td>\n",
              "      <td>2107.499512</td>\n",
              "      <td>2532.894287</td>\n",
              "      <td>3044.154297</td>\n",
              "      <td>3658.611328</td>\n",
              "      <td>236384.796875</td>\n",
              "      <td>281330.03125</td>\n",
              "      <td>334821.00000</td>\n",
              "      <td>398482.50000</td>\n",
              "      <td>474248.34375</td>\n",
              "      <td>564420.00000</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4998</th>\n",
              "      <td>30874.562500</td>\n",
              "      <td>35146.324219</td>\n",
              "      <td>40009.121094</td>\n",
              "      <td>45544.726562</td>\n",
              "      <td>51846.230469</td>\n",
              "      <td>59019.601562</td>\n",
              "      <td>65134.585938</td>\n",
              "      <td>81369.304688</td>\n",
              "      <td>101650.507812</td>\n",
              "      <td>126986.781250</td>\n",
              "      <td>158638.093750</td>\n",
              "      <td>198178.453125</td>\n",
              "      <td>17401.505859</td>\n",
              "      <td>20631.765625</td>\n",
              "      <td>24461.662109</td>\n",
              "      <td>29002.505859</td>\n",
              "      <td>34386.269531</td>\n",
              "      <td>40769.429688</td>\n",
              "      <td>2152.032715</td>\n",
              "      <td>2378.656738</td>\n",
              "      <td>2629.145996</td>\n",
              "      <td>2906.013428</td>\n",
              "      <td>3212.036865</td>\n",
              "      <td>3550.286865</td>\n",
              "      <td>9511.658203</td>\n",
              "      <td>10096.154297</td>\n",
              "      <td>10716.567383</td>\n",
              "      <td>11375.105469</td>\n",
              "      <td>12074.111328</td>\n",
              "      <td>12816.071289</td>\n",
              "      <td>8609.484375</td>\n",
              "      <td>11020.401367</td>\n",
              "      <td>14106.448242</td>\n",
              "      <td>18056.681641</td>\n",
              "      <td>23113.101562</td>\n",
              "      <td>29585.472656</td>\n",
              "      <td>1458.707153</td>\n",
              "      <td>1752.740234</td>\n",
              "      <td>2106.041748</td>\n",
              "      <td>2530.558594</td>\n",
              "      <td>3040.645752</td>\n",
              "      <td>3653.551758</td>\n",
              "      <td>231439.531250</td>\n",
              "      <td>269682.09375</td>\n",
              "      <td>314243.75000</td>\n",
              "      <td>366168.68750</td>\n",
              "      <td>426673.59375</td>\n",
              "      <td>497176.18750</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>4999</th>\n",
              "      <td>29674.617188</td>\n",
              "      <td>32467.476562</td>\n",
              "      <td>35523.187500</td>\n",
              "      <td>38866.492188</td>\n",
              "      <td>42524.453125</td>\n",
              "      <td>46526.687500</td>\n",
              "      <td>65241.851562</td>\n",
              "      <td>81637.531250</td>\n",
              "      <td>102153.546875</td>\n",
              "      <td>127825.367188</td>\n",
              "      <td>159948.671875</td>\n",
              "      <td>200144.765625</td>\n",
              "      <td>15533.154297</td>\n",
              "      <td>16439.250000</td>\n",
              "      <td>17398.201172</td>\n",
              "      <td>18413.091797</td>\n",
              "      <td>19487.183594</td>\n",
              "      <td>20623.929688</td>\n",
              "      <td>2114.230225</td>\n",
              "      <td>2295.823975</td>\n",
              "      <td>2493.015137</td>\n",
              "      <td>2707.143311</td>\n",
              "      <td>2939.663330</td>\n",
              "      <td>3192.154785</td>\n",
              "      <td>9491.234375</td>\n",
              "      <td>10052.842773</td>\n",
              "      <td>10647.682617</td>\n",
              "      <td>11277.719727</td>\n",
              "      <td>11945.037109</td>\n",
              "      <td>12651.840820</td>\n",
              "      <td>8348.243164</td>\n",
              "      <td>10361.755859</td>\n",
              "      <td>12860.907227</td>\n",
              "      <td>15962.829102</td>\n",
              "      <td>19812.902344</td>\n",
              "      <td>24591.576172</td>\n",
              "      <td>1428.594238</td>\n",
              "      <td>1681.121582</td>\n",
              "      <td>1978.287231</td>\n",
              "      <td>2327.981689</td>\n",
              "      <td>2739.490234</td>\n",
              "      <td>3223.739746</td>\n",
              "      <td>230431.343750</td>\n",
              "      <td>267337.65625</td>\n",
              "      <td>310154.93750</td>\n",
              "      <td>359829.93750</td>\n",
              "      <td>417460.96875</td>\n",
              "      <td>484322.28125</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "<p>5000 rows × 48 columns</p>\n",
              "</div>"
            ],
            "text/plain": [
              "      WHO Eastern Mediterranean Region on 2020/03/23  ...  WHO European Region on 2020/03/28\n",
              "0                                       31284.689453  ...                       578096.68750\n",
              "1                                       29549.523438  ...                       459054.46875\n",
              "2                                       31013.890625  ...                       527868.37500\n",
              "3                                       31200.568359  ...                       463206.78125\n",
              "4                                       29549.738281  ...                       952905.06250\n",
              "...                                              ...  ...                                ...\n",
              "4995                                    31184.136719  ...                       602094.12500\n",
              "4996                                    30725.634766  ...                       831296.31250\n",
              "4997                                    30979.730469  ...                       564420.00000\n",
              "4998                                    30874.562500  ...                       497176.18750\n",
              "4999                                    29674.617188  ...                       484322.28125\n",
              "\n",
              "[5000 rows x 48 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 19
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "n8o8bbfIv3IJ",
        "colab_type": "text"
      },
      "source": [
        "Summary stats:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "X38o07jxv3PE",
        "colab_type": "code",
        "outputId": "559f4157-1e5f-411f-ce2f-df8aa123ae09",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 385
        }
      },
      "source": [
        "samples.describe()"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "execute_result",
          "data": {
            "text/html": [
              "<div>\n",
              "<style scoped>\n",
              "    .dataframe tbody tr th:only-of-type {\n",
              "        vertical-align: middle;\n",
              "    }\n",
              "\n",
              "    .dataframe tbody tr th {\n",
              "        vertical-align: top;\n",
              "    }\n",
              "\n",
              "    .dataframe thead th {\n",
              "        text-align: right;\n",
              "    }\n",
              "</style>\n",
              "<table border=\"1\" class=\"dataframe\">\n",
              "  <thead>\n",
              "    <tr style=\"text-align: right;\">\n",
              "      <th></th>\n",
              "      <th>WHO Eastern Mediterranean Region on 2020/03/23</th>\n",
              "      <th>WHO Eastern Mediterranean Region on 2020/03/24</th>\n",
              "      <th>WHO Eastern Mediterranean Region on 2020/03/25</th>\n",
              "      <th>WHO Eastern Mediterranean Region on 2020/03/26</th>\n",
              "      <th>WHO Eastern Mediterranean Region on 2020/03/27</th>\n",
              "      <th>WHO Eastern Mediterranean Region on 2020/03/28</th>\n",
              "      <th>WHO Region of the Americas on 2020/03/23</th>\n",
              "      <th>WHO Region of the Americas on 2020/03/24</th>\n",
              "      <th>WHO Region of the Americas on 2020/03/25</th>\n",
              "      <th>WHO Region of the Americas on 2020/03/26</th>\n",
              "      <th>WHO Region of the Americas on 2020/03/27</th>\n",
              "      <th>WHO Region of the Americas on 2020/03/28</th>\n",
              "      <th>WHO Western Pacific Region on 2020/03/23</th>\n",
              "      <th>WHO Western Pacific Region on 2020/03/24</th>\n",
              "      <th>WHO Western Pacific Region on 2020/03/25</th>\n",
              "      <th>WHO Western Pacific Region on 2020/03/26</th>\n",
              "      <th>WHO Western Pacific Region on 2020/03/27</th>\n",
              "      <th>WHO Western Pacific Region on 2020/03/28</th>\n",
              "      <th>WHO South-East Asia Region on 2020/03/23</th>\n",
              "      <th>WHO South-East Asia Region on 2020/03/24</th>\n",
              "      <th>WHO South-East Asia Region on 2020/03/25</th>\n",
              "      <th>WHO South-East Asia Region on 2020/03/26</th>\n",
              "      <th>WHO South-East Asia Region on 2020/03/27</th>\n",
              "      <th>WHO South-East Asia Region on 2020/03/28</th>\n",
              "      <th>South Korea on 2020/03/23</th>\n",
              "      <th>South Korea on 2020/03/24</th>\n",
              "      <th>South Korea on 2020/03/25</th>\n",
              "      <th>South Korea on 2020/03/26</th>\n",
              "      <th>South Korea on 2020/03/27</th>\n",
              "      <th>South Korea on 2020/03/28</th>\n",
              "      <th>United Kingdom on 2020/03/23</th>\n",
              "      <th>United Kingdom on 2020/03/24</th>\n",
              "      <th>United Kingdom on 2020/03/25</th>\n",
              "      <th>United Kingdom on 2020/03/26</th>\n",
              "      <th>United Kingdom on 2020/03/27</th>\n",
              "      <th>United Kingdom on 2020/03/28</th>\n",
              "      <th>WHO African Region on 2020/03/23</th>\n",
              "      <th>WHO African Region on 2020/03/24</th>\n",
              "      <th>WHO African Region on 2020/03/25</th>\n",
              "      <th>WHO African Region on 2020/03/26</th>\n",
              "      <th>WHO African Region on 2020/03/27</th>\n",
              "      <th>WHO African Region on 2020/03/28</th>\n",
              "      <th>WHO European Region on 2020/03/23</th>\n",
              "      <th>WHO European Region on 2020/03/24</th>\n",
              "      <th>WHO European Region on 2020/03/25</th>\n",
              "      <th>WHO European Region on 2020/03/26</th>\n",
              "      <th>WHO European Region on 2020/03/27</th>\n",
              "      <th>WHO European Region on 2020/03/28</th>\n",
              "    </tr>\n",
              "  </thead>\n",
              "  <tbody>\n",
              "    <tr>\n",
              "      <th>count</th>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5000.000000</td>\n",
              "      <td>5.000000e+03</td>\n",
              "      <td>5.000000e+03</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>mean</th>\n",
              "      <td>30368.264766</td>\n",
              "      <td>34027.995507</td>\n",
              "      <td>38156.771516</td>\n",
              "      <td>42817.969782</td>\n",
              "      <td>48083.894137</td>\n",
              "      <td>54037.072045</td>\n",
              "      <td>66012.096283</td>\n",
              "      <td>83625.616505</td>\n",
              "      <td>106001.536891</td>\n",
              "      <td>134444.835430</td>\n",
              "      <td>170622.932270</td>\n",
              "      <td>216667.742769</td>\n",
              "      <td>17583.856575</td>\n",
              "      <td>21176.537805</td>\n",
              "      <td>25628.920423</td>\n",
              "      <td>31160.649904</td>\n",
              "      <td>38049.513093</td>\n",
              "      <td>46647.230893</td>\n",
              "      <td>2130.586570</td>\n",
              "      <td>2337.905727</td>\n",
              "      <td>2572.642439</td>\n",
              "      <td>2839.120701</td>\n",
              "      <td>3142.421821</td>\n",
              "      <td>3488.525483</td>\n",
              "      <td>9494.443282</td>\n",
              "      <td>10059.663995</td>\n",
              "      <td>10658.556426</td>\n",
              "      <td>11293.127865</td>\n",
              "      <td>11965.505379</td>\n",
              "      <td>12677.942876</td>\n",
              "      <td>8517.299067</td>\n",
              "      <td>10791.921113</td>\n",
              "      <td>13681.997071</td>\n",
              "      <td>17356.260104</td>\n",
              "      <td>22030.320476</td>\n",
              "      <td>27979.863708</td>\n",
              "      <td>1446.502711</td>\n",
              "      <td>1723.845592</td>\n",
              "      <td>2054.736955</td>\n",
              "      <td>2449.588166</td>\n",
              "      <td>2920.849036</td>\n",
              "      <td>3483.409719</td>\n",
              "      <td>236391.788137</td>\n",
              "      <td>281780.096262</td>\n",
              "      <td>336419.359600</td>\n",
              "      <td>402317.206925</td>\n",
              "      <td>4.819448e+05</td>\n",
              "      <td>5.783501e+05</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>std</th>\n",
              "      <td>822.146006</td>\n",
              "      <td>1845.313173</td>\n",
              "      <td>3107.440698</td>\n",
              "      <td>4653.015973</td>\n",
              "      <td>6534.163864</td>\n",
              "      <td>8811.914437</td>\n",
              "      <td>1599.897143</td>\n",
              "      <td>4071.713624</td>\n",
              "      <td>7779.826948</td>\n",
              "      <td>13227.199067</td>\n",
              "      <td>21106.066599</td>\n",
              "      <td>32366.936297</td>\n",
              "      <td>1271.360096</td>\n",
              "      <td>2983.435130</td>\n",
              "      <td>5273.083184</td>\n",
              "      <td>8320.034909</td>\n",
              "      <td>12360.553963</td>\n",
              "      <td>17705.502072</td>\n",
              "      <td>111.829404</td>\n",
              "      <td>248.952224</td>\n",
              "      <td>416.779004</td>\n",
              "      <td>621.861751</td>\n",
              "      <td>872.131136</td>\n",
              "      <td>1177.182997</td>\n",
              "      <td>13.993691</td>\n",
              "      <td>29.655296</td>\n",
              "      <td>47.134072</td>\n",
              "      <td>66.591155</td>\n",
              "      <td>88.200434</td>\n",
              "      <td>112.149551</td>\n",
              "      <td>205.149638</td>\n",
              "      <td>522.205570</td>\n",
              "      <td>997.856983</td>\n",
              "      <td>1696.452206</td>\n",
              "      <td>2706.385491</td>\n",
              "      <td>4148.745656</td>\n",
              "      <td>19.455845</td>\n",
              "      <td>46.441789</td>\n",
              "      <td>83.167463</td>\n",
              "      <td>132.425110</td>\n",
              "      <td>197.735185</td>\n",
              "      <td>283.527238</td>\n",
              "      <td>9279.139946</td>\n",
              "      <td>22546.015072</td>\n",
              "      <td>41161.330471</td>\n",
              "      <td>66922.424208</td>\n",
              "      <td>1.022020e+05</td>\n",
              "      <td>1.501317e+05</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>min</th>\n",
              "      <td>29277.867188</td>\n",
              "      <td>31605.099609</td>\n",
              "      <td>34117.320312</td>\n",
              "      <td>36829.230469</td>\n",
              "      <td>39756.703125</td>\n",
              "      <td>42916.875000</td>\n",
              "      <td>61311.925781</td>\n",
              "      <td>72098.664062</td>\n",
              "      <td>84783.140625</td>\n",
              "      <td>99699.218750</td>\n",
              "      <td>117239.515625</td>\n",
              "      <td>137865.718750</td>\n",
              "      <td>15482.545898</td>\n",
              "      <td>16332.303711</td>\n",
              "      <td>17228.701172</td>\n",
              "      <td>18174.296875</td>\n",
              "      <td>19171.791016</td>\n",
              "      <td>20224.033203</td>\n",
              "      <td>1987.271240</td>\n",
              "      <td>2028.375488</td>\n",
              "      <td>2070.329834</td>\n",
              "      <td>2113.152100</td>\n",
              "      <td>2156.860107</td>\n",
              "      <td>2201.472168</td>\n",
              "      <td>9445.649414</td>\n",
              "      <td>9956.510742</td>\n",
              "      <td>10495.001953</td>\n",
              "      <td>11062.617188</td>\n",
              "      <td>11660.930664</td>\n",
              "      <td>12291.603516</td>\n",
              "      <td>7936.103027</td>\n",
              "      <td>9363.920898</td>\n",
              "      <td>11048.624023</td>\n",
              "      <td>13036.428711</td>\n",
              "      <td>15381.868164</td>\n",
              "      <td>18149.285156</td>\n",
              "      <td>1373.731567</td>\n",
              "      <td>1554.479736</td>\n",
              "      <td>1759.009888</td>\n",
              "      <td>1990.450928</td>\n",
              "      <td>2252.343750</td>\n",
              "      <td>2548.695068</td>\n",
              "      <td>223420.296875</td>\n",
              "      <td>251317.234375</td>\n",
              "      <td>282697.468750</td>\n",
              "      <td>317995.937500</td>\n",
              "      <td>3.577019e+05</td>\n",
              "      <td>4.023656e+05</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>25%</th>\n",
              "      <td>29582.430176</td>\n",
              "      <td>32266.062012</td>\n",
              "      <td>35193.147461</td>\n",
              "      <td>38385.766602</td>\n",
              "      <td>41868.010742</td>\n",
              "      <td>45666.155273</td>\n",
              "      <td>64887.569336</td>\n",
              "      <td>80753.310547</td>\n",
              "      <td>100498.398438</td>\n",
              "      <td>125071.386719</td>\n",
              "      <td>155652.738281</td>\n",
              "      <td>193711.574219</td>\n",
              "      <td>17080.879883</td>\n",
              "      <td>19878.480957</td>\n",
              "      <td>23134.289062</td>\n",
              "      <td>26923.351562</td>\n",
              "      <td>31333.007812</td>\n",
              "      <td>36464.902344</td>\n",
              "      <td>2061.108032</td>\n",
              "      <td>2181.903503</td>\n",
              "      <td>2309.778503</td>\n",
              "      <td>2445.147949</td>\n",
              "      <td>2588.451050</td>\n",
              "      <td>2740.152649</td>\n",
              "      <td>9484.877686</td>\n",
              "      <td>10039.382080</td>\n",
              "      <td>10626.304199</td>\n",
              "      <td>11247.538818</td>\n",
              "      <td>11905.092529</td>\n",
              "      <td>12601.088135</td>\n",
              "      <td>8374.379395</td>\n",
              "      <td>10426.736572</td>\n",
              "      <td>12982.076416</td>\n",
              "      <td>16163.667480</td>\n",
              "      <td>20124.989258</td>\n",
              "      <td>25057.135742</td>\n",
              "      <td>1433.329742</td>\n",
              "      <td>1692.285156</td>\n",
              "      <td>1998.025330</td>\n",
              "      <td>2359.002625</td>\n",
              "      <td>2785.196655</td>\n",
              "      <td>3288.389893</td>\n",
              "      <td>228867.277344</td>\n",
              "      <td>263720.828125</td>\n",
              "      <td>303882.132812</td>\n",
              "      <td>350159.484375</td>\n",
              "      <td>4.034843e+05</td>\n",
              "      <td>4.649297e+05</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>50%</th>\n",
              "      <td>29803.739258</td>\n",
              "      <td>32750.639648</td>\n",
              "      <td>35988.919922</td>\n",
              "      <td>39547.392578</td>\n",
              "      <td>43457.714844</td>\n",
              "      <td>47754.679688</td>\n",
              "      <td>65931.246094</td>\n",
              "      <td>83371.933594</td>\n",
              "      <td>105426.179688</td>\n",
              "      <td>133314.398438</td>\n",
              "      <td>168579.843750</td>\n",
              "      <td>213174.000000</td>\n",
              "      <td>17903.070312</td>\n",
              "      <td>21838.245117</td>\n",
              "      <td>26638.388672</td>\n",
              "      <td>32493.625000</td>\n",
              "      <td>39635.869141</td>\n",
              "      <td>48348.009766</td>\n",
              "      <td>2123.873657</td>\n",
              "      <td>2316.815308</td>\n",
              "      <td>2527.284546</td>\n",
              "      <td>2756.873779</td>\n",
              "      <td>3007.319824</td>\n",
              "      <td>3280.517456</td>\n",
              "      <td>9494.104004</td>\n",
              "      <td>10058.922852</td>\n",
              "      <td>10657.344238</td>\n",
              "      <td>11291.366211</td>\n",
              "      <td>11963.107422</td>\n",
              "      <td>12674.811523</td>\n",
              "      <td>8501.087891</td>\n",
              "      <td>10744.646973</td>\n",
              "      <td>13580.313477</td>\n",
              "      <td>17164.353516</td>\n",
              "      <td>21694.272461</td>\n",
              "      <td>27419.702148</td>\n",
              "      <td>1445.802795</td>\n",
              "      <td>1721.866394</td>\n",
              "      <td>2050.641968</td>\n",
              "      <td>2442.194458</td>\n",
              "      <td>2908.510498</td>\n",
              "      <td>3463.865479</td>\n",
              "      <td>234441.757812</td>\n",
              "      <td>276724.093750</td>\n",
              "      <td>326632.187500</td>\n",
              "      <td>385541.359375</td>\n",
              "      <td>4.550750e+05</td>\n",
              "      <td>5.371492e+05</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>75%</th>\n",
              "      <td>31157.424805</td>\n",
              "      <td>35793.270508</td>\n",
              "      <td>41118.875977</td>\n",
              "      <td>47236.866211</td>\n",
              "      <td>54265.139648</td>\n",
              "      <td>62339.133789</td>\n",
              "      <td>67010.488281</td>\n",
              "      <td>86123.738281</td>\n",
              "      <td>110688.613281</td>\n",
              "      <td>142260.074219</td>\n",
              "      <td>182836.585938</td>\n",
              "      <td>234986.640625</td>\n",
              "      <td>18569.248535</td>\n",
              "      <td>23493.696777</td>\n",
              "      <td>29724.078613</td>\n",
              "      <td>37606.718750</td>\n",
              "      <td>47579.787109</td>\n",
              "      <td>60197.648438</td>\n",
              "      <td>2156.636353</td>\n",
              "      <td>2388.844543</td>\n",
              "      <td>2646.054993</td>\n",
              "      <td>2930.959656</td>\n",
              "      <td>3246.540344</td>\n",
              "      <td>3596.100037</td>\n",
              "      <td>9503.965332</td>\n",
              "      <td>10079.830322</td>\n",
              "      <td>10690.588135</td>\n",
              "      <td>11338.353271</td>\n",
              "      <td>12025.367676</td>\n",
              "      <td>12754.009521</td>\n",
              "      <td>8643.980469</td>\n",
              "      <td>11108.890869</td>\n",
              "      <td>14276.693115</td>\n",
              "      <td>18347.823730</td>\n",
              "      <td>23579.874512</td>\n",
              "      <td>30303.893066</td>\n",
              "      <td>1459.128113</td>\n",
              "      <td>1753.751953</td>\n",
              "      <td>2107.865662</td>\n",
              "      <td>2533.481079</td>\n",
              "      <td>3045.035889</td>\n",
              "      <td>3659.882629</td>\n",
              "      <td>240472.167969</td>\n",
              "      <td>291143.210938</td>\n",
              "      <td>352491.390625</td>\n",
              "      <td>426766.515625</td>\n",
              "      <td>5.166925e+05</td>\n",
              "      <td>6.255672e+05</td>\n",
              "    </tr>\n",
              "    <tr>\n",
              "      <th>max</th>\n",
              "      <td>32148.343750</td>\n",
              "      <td>38106.187500</td>\n",
              "      <td>45168.160156</td>\n",
              "      <td>53538.878906</td>\n",
              "      <td>63460.890625</td>\n",
              "      <td>75221.679688</td>\n",
              "      <td>75364.445312</td>\n",
              "      <td>108935.718750</td>\n",
              "      <td>157461.406250</td>\n",
              "      <td>227602.968750</td>\n",
              "      <td>328989.281250</td>\n",
              "      <td>475538.375000</td>\n",
              "      <td>20487.394531</td>\n",
              "      <td>28598.035156</td>\n",
              "      <td>39919.550781</td>\n",
              "      <td>55723.078125</td>\n",
              "      <td>77782.976562</td>\n",
              "      <td>108576.046875</td>\n",
              "      <td>2423.377197</td>\n",
              "      <td>3016.310791</td>\n",
              "      <td>3754.318848</td>\n",
              "      <td>4672.896973</td>\n",
              "      <td>5816.226074</td>\n",
              "      <td>7239.296387</td>\n",
              "      <td>9546.948242</td>\n",
              "      <td>10171.210938</td>\n",
              "      <td>10836.292969</td>\n",
              "      <td>11544.864258</td>\n",
              "      <td>12299.767578</td>\n",
              "      <td>13104.033203</td>\n",
              "      <td>9416.867188</td>\n",
              "      <td>13184.268555</td>\n",
              "      <td>18458.892578</td>\n",
              "      <td>25843.732422</td>\n",
              "      <td>36183.019531</td>\n",
              "      <td>50658.742188</td>\n",
              "      <td>1531.488037</td>\n",
              "      <td>1932.006348</td>\n",
              "      <td>2437.269043</td>\n",
              "      <td>3074.669189</td>\n",
              "      <td>3878.763672</td>\n",
              "      <td>4893.146973</td>\n",
              "      <td>279053.187500</td>\n",
              "      <td>392058.625000</td>\n",
              "      <td>550826.750000</td>\n",
              "      <td>773889.625000</td>\n",
              "      <td>1.087284e+06</td>\n",
              "      <td>1.527591e+06</td>\n",
              "    </tr>\n",
              "  </tbody>\n",
              "</table>\n",
              "</div>"
            ],
            "text/plain": [
              "       WHO Eastern Mediterranean Region on 2020/03/23  ...  WHO European Region on 2020/03/28\n",
              "count                                     5000.000000  ...                       5.000000e+03\n",
              "mean                                     30368.264766  ...                       5.783501e+05\n",
              "std                                        822.146006  ...                       1.501317e+05\n",
              "min                                      29277.867188  ...                       4.023656e+05\n",
              "25%                                      29582.430176  ...                       4.649297e+05\n",
              "50%                                      29803.739258  ...                       5.371492e+05\n",
              "75%                                      31157.424805  ...                       6.255672e+05\n",
              "max                                      32148.343750  ...                       1.527591e+06\n",
              "\n",
              "[8 rows x 48 columns]"
            ]
          },
          "metadata": {
            "tags": []
          },
          "execution_count": 20
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Ef2WIV96vuRU",
        "colab_type": "text"
      },
      "source": [
        "Plot some marginals:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "V16wr34sb5Bi",
        "colab_type": "code",
        "outputId": "19f57309-f5b1-4be3-d6df-20fc2ae18727",
        "colab": {
          "base_uri": "https://localhost:8080/",
          "height": 1000
        }
      },
      "source": [
        "for question in questions:\n",
        "  pyplot.figure()\n",
        "  seaborn.distplot(samples[question.name])"
      ],
      "execution_count": 0,
      "outputs": [
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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KqERWhvBVNO9+eJiC0mrOHp9OdurQvzGzv4WHCVfPziY+KoJn3yul9rgObBgM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\nAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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LfUZEtonIJuAzwIfcui3A1/GSzXrgHleWVAaGRmjq6LdEMcWWzytGBNbsO+53\nKMYklIjuR6GqTwFPjSr7atj0l4Evj7PuSmDlGcQY9xo7+lCg3BLFlMrLTOX88nw2HGylq3/IbjVr\nTJTYldnT4Ii7E9vsArsHxVS7YkEJ/UMj/KbGbpVqTLRYopgG9a29ZKUFyc9M9TuUhFdZlEVlYSYP\nrjnIyIh1lTUmGixRTIODLd3MKcpCRPwOJSlcsaCE/ce6eXFX4l2PY4wfLFFMseNd/RzrGmBucbbf\noSSN88rzmZmXzsqX9/sdijEJwRLFFNvg7sBWVZzlcyTJIxgQ3r98Lqt3H2NPU6ff4RgT9yxRTLEN\nB1sJBsS6xk6z9y2fQ1pKgAdeOeB3KMbEPUsUU2z9gRbKCzJJDdqhnk7FOenccuFsfruhnvYeG1XW\nmDNh315TqG9wmK31Hcy1006++NCVVfQODvPrGhsyxZgzYYliCm2pb2dgeIS5RdaQ7YdzZ+ezbF4R\nD75ykGHrKmvMabNEMYVqDngN2XOsRuGbv7+yivq2Xp7fftTvUIyJWzbGwRSqOdDC/NJsG0rCB6ER\neodHlIKsVL7xdC0t3QO8b/kcnyMzJv5YjWKKjIwoGw61Uj03ae/8GhOCAeGKBSUcON7D4ZYev8Mx\nJi5ZopgiW4+009YzyGXzi/0OJeldOreQjNQAq/fYvSqMOR2WKKbICzubEYFrFiXe3friTXpqkGVV\nxWyrb+fQcatVGHOqLFFMkVU7m7igooDinHS/QzHA5QuKCYjw07/u8zsUY+KOJYop0NI9wMbDbVx3\nttUmYkV+ZioXVubzaE0dLd0DfodjTFyxRDEFVu9uRhWuPXuG36GYMFcvLKVvaJj7XtzrdyjGxJWI\nEoWIrBCRnSKyR0S+NMb8z4vIdhHZLCJ/FpG5YfOGRWSjezw+et1EtGpHE8XZaVxQnu93KCbMjLwM\n3rm0nAfXHKCpo8/vcIyJG5MmChEJAj8EbgSWALeLyJJRi70OVKvqBcBvgG+FzetV1aXucTMJbnhE\neWn3Ma5eVEogYPefiDWffdtCBoeVH71gtQpjIhVJjWIZsEdV96nqAPAIcEv4Aqq6SlVD3UnWAhXR\nDTN+bK5ro6V7gGutfSImVZVk855LKnho3SHq3S1qjTETiyRRlAPhNyCuc2Xj+QjwdNjzDBGpEZG1\nIvLO8VYSkbvccjXNzfF7Z7JntjaSEhCuXmiJIlZ9+m0LAfjWMzt8jsSY+BDVsSVE5P1ANXBNWPFc\nVa0XkfnAX0Rki6q+qd6vqvcD9wNUV1fH5QhuwyPK7zfWc+3ZpRRmp/kdjhlDaGiPqxaW8IeNR8jP\nTOWeW87zOSpjYlskNYp6oH2flZ8AABYESURBVDLseYUrO4mIvB34CnCzqvaHylW13v3dB7wAXHQG\n8ca0V/Ye42hHP7denLRn3uLGtYtKmZGbzh82HqGrf8jvcIyJaZEkivXAQhGZJyJpwG3ASb2XROQi\n4D68JNEUVl4oIuluugS4EtgereBjze9eqycvI4W3LrZusbEuJRjg1osr6Ogd5BtP1/odjjExbdJT\nT6o6JCKfAp4FgsBKVd0mIvcANar6OPBtIAf4LxEBOOR6OJ0D3CciI3hJ6RuqmpCJoqt/iCc3H+Gi\nykJ+99qbKlwmBs0pyuKKBcX8cu0hLqgo4O+qKydfyZgkFFEbhao+BTw1quyrYdNvH2e9V4DzzyTA\nePHM1kYGh5WL5hT4HYo5BSvOKyMQEP75d1uYnZ/JVQtL/A7JmJhjV2ZHyW82HKYoO405RXaTongS\nDAg/vONizpqRw8d/uYFNh9v8DsmYmGOJIgq21LWzdl8Ly6qKcKfeTBzJy0hl5YcuJT8rldvuX8uf\na+1ueMaEs0QRBfe+uJfcjBSWzSvyOxRzGh5ad4gXdjbzgcvmUpSdxkcfrOFnL+9HNS57aRsTdZYo\nztCBY908vbWB9182l4zUoN/hmDOQm5HKR98yj7Nn5fIvT2znY7/cQFuPjTRrjCWKM3T/6n2kBAN8\n+Moqv0MxUZCeEuT9l83lKzedw192NHHTf6xm/YEWv8MyxleWKM7A0Y4+frOhjr+9uIIZuRl+h2Oi\nJCDCP1w9n99+/ApSUwK89741fO/PuxkesVNRJjlZojgD/99TtaDwsWvm+x2KmQIXVBTw5Kev4m8u\nnM2/Pb+L9963hv3Huv0Oy5hpJ7HYYFddXa01NTV+hzGhf/1jLT9evY9rzy7l+iWz/A7HTCFVZePh\nNp7YfASAL9ywmDsvn0tK0H5nmdghIhtUtXoqtm3v9NMwNDzCE5uOUJCZyrWLbLiORCciXDSnkM++\nbRGXzy/m609u5+YfvMxrh1r9Ds2YaWGJ4jSsfHk/jR193HR+GWkpdgiTRX5mKm8/Zya3L5tDXWsP\nt/7oFf7b9//KrqOdfodmzJSK6jDjyWDN3uN885mdLCnL49zZeX6HY6aZiHB+eT6LZuTw4u5mXtl7\nnBu++xJvWzyTWy8u562LZ1g3aZNwLFGcgrrWHj750GtUFWfx7ksq7CrsJJaeGuT6JbO4akEJbb2D\nPFpzmD/VHiUzNcj55flcUJHP8e4BirLTKM5OIy8zlYAI71s+x+/QjTllligidKyrn48+WMPg0Ag/\n/mA1a/dZ33oDWekpfPTq+fzjOxaxZu9x/lR7lM11bfxi7UH6h0ZOLBcMCEVZaWw63MYVZxVz9UK7\nuZWJH5YoIrC3uYsP/exVmjv7uf8D1cwvzbFEYU4SDAhXLSw5Mfrs8Ihy7wt7Od49QEv3AC3d/TR1\n9vP01gZ+XXOY1KDw9nNm8nfVlVyzqJRAwGqnJnZZopjEc9sa+Z+/3UxQhEfuupyllTaMuDlZ6Paq\noxVmp72p1jCiypG2XjYdbuPFXc08vbWR0px0/umGRbzzonLSU6x9w8Qeu45iHIdbeviXJ7bxp9om\nZuVl8H43YJwx0TI0MsLW+g5W726mob2P0tx0PnRFFe9fPpf8rFS/wzNxZiqvo7BEMcrW+nZ+snof\nT2xuIC0Y4NqzS7liQQlBOzVgpoiqsqe5i9W7j7GnqYu0YIBLqwr51nsupLwg0+/wTJyYykQR0akn\nEVkB/AferVB/oqrfGDU/Hfg5cAlwHHivqh5w874MfAQYBj6jqs9GLfooGBlRdjd18afao/xizUEa\nO/pISwlw+fxirjyrhPxM+2VnppaIsHBGLgtn5HKkrZe/7jnGmn3Hufpbq1g+r4gV583iyrNKqCrO\njugHS//QMJ19Q3T1DdE7OExAhGAAgoEAQRHSUwPkpKeQlRa0nnsmIpPWKEQkCOwC3gHUAeuB28Pv\nfS0inwAuUNWPichtwLtU9b0isgR4GFgGzAb+BCxS1eGJ9hnNGsXIiNI7OEzPwDDtvQM0dw5wtKOP\nPU1d7DraSc3BVlq6vaGk5xRlcWFFPksrC8lMs3PFxj9tPQN0Dwzx9NZG9jV740tlpAaoKs4mPzOV\n7PQUBodH6BkYprt/iO6BIXr6vQQxMDwyydY9wYCQk55CbkYKOekp5GWkkpvhnmekkHvieSq56Slk\np6cwosrwiDI0ogyPjDA4rAwNK4PDIwwOjzA0oqhCalAIBoSUYIDUgDedGgyQEhRSAkJKIDTt/fWW\nD3jzQuVuOjUY8NYPBAieWN/b5nQnOlVlRL3OCqFjMaLKyAgMhz930wApARd/8I3jEHSvIZrx+12j\nWAbsUdV9LphHgFuA7WHL3AJ8zU3/BviBeEfgFuARVe0H9ovIHre9NdEJ/2SXfP15uvqH3D+KCUf7\nDAaEucVZXHt2KZe52sOLO5unIixjTllBVhqfuO4svnDDYvY0dfH6oVZ2NHZy4Fg3e5u7GRjqIRgQ\n0lOCpKUEKM5Opyw/QEZKkIzUAOmpQTJSAqQGAyi4LzPvS3xwZIT+wRH6BofpGxqhf3CYvsFhmrv6\nqWvtoW/IzRscJtYHzA0lE8H7wlW8gMN//+qoCX2j5MRy4S8z9ONZRy0zFYIu4YUqiiU56fz1i2+d\nuh2epkgSRTlwOOx5HbB8vGVUdUhE2oFiV7521LrlY+1ERO4C7nJPu0Rk5wQxlQDHIoh9QvuAVWe6\nEX9E5fXHuYQ/BndMvkjCH4MIJNQx2AnIl05plfDXPzfa8YTETPdYVb0fuD+SZUWkZqqqWPEg2V8/\n2DEAOwZgx2C6Xn8kI9rVA5Vhzytc2ZjLiEgKkI/XqB3JusYYY2JYJIliPbBQROaJSBpwG/D4qGUe\nB+500+8G/qLeib7HgdtEJF1E5gELgVejE7oxxpjpMOmpJ9fm8CngWbzusStVdZuI3APUqOrjwE+B\nX7jG6ha8ZIJb7lG8hu8h4JOT9XiKUESnqBJYsr9+sGMAdgzAjsG0vP6YvODOGGNM7LC77hhjjJmQ\nJQpjjDETmtZEISIrRaRJRLaGlRWJyPMistv9LXTlIiLfE5E9IrJZRC4OW+dOt/xuEbkzrPwSEdni\n1vmeu+hv3H34YZxj8DURqReRje5xU9i8L7vXs1NEbggrX+HK9oi80fPadTpY58p/7Tog4DoU/NqV\nrxORqul5xScTkUoRWSUi20Vkm4h81pUnzftggmOQTO+DDBF5VUQ2uWPwL6cbd7SOzXSa4PU/ICL7\nw94DS125v58DVZ22B3A1cDGwNazsW8CX3PSXgG+66ZuApwEBLgPWufIivGvlioBCN13o5r3qlhW3\n7o0T7cOPxzjH4GvAP42x7BJgE5AOzAP24nUoCLrp+UCaW2aJW+dR4DY3fS/wcTf9CeBeN30b8Guf\nXn8ZcLGbzsUbHmZJMr0PJjgGyfQ+ECDHTacC69z/7JTijuaxiZHX/wDw7jGW9/Vz4McbpIqTvyR3\nAmVhH6Cdbvo+vDGlTloOuB24L6z8PldWBuwIKz+x3Hj78OsxxjH4GmN/QXwZ+HLY82eBy93j2dHL\nuTfEMSDFlZ9YLrSum05xy4mfx8HF8ge8ccSS7n0wxjFIyvcBkAW8hjfiwynFHc1jEyOv/wHGThS+\nfg5ioY1ipqo2uOlGYKabHmvokPJJyuvGKJ9oH7HkU65KuTKsKniqx6AYaFPVoVHlJ23LzQ8Ns+Ib\nd/rgIrxfU0n5Phh1DCCJ3gciEhSRjUAT8DxeDeBU447msZlWo1+/qobeA//q3gP/Lt7I3ODz5yAW\nEsUJ6qW4Ke2vOx37OA3/CSwAlgINwHf8DWfqiUgO8Fvgc6raET4vWd4HYxyDpHofqOqwqi7FG7Fh\nGbDY55Cm1ejXLyLn4dV6FgOX4p1O+uIUxxDR5yAWEsVRESkDcH+bXPl4w39MVF4xRvlE+4gJqnrU\nvWlGgB/jfWjg1I/BcaBAvGFUwstP2pacPMzKtBORVLwvyF+p6u9ccVK9D8Y6Bsn2PghR1Ta88Tkv\n59Tjjuax8UXY61+hqg3q6Qd+xum/B6L6OYiFRBE+/MedeOdrQ+UfdK39lwHtrrr0LHC9iBS6qvn1\neOcYG4AOEbnMte5/cNS2xtpHTAj905x3AaEeUeMNgTLmsCru18EqvGFU4M3Hc6xhVqaV+9/8FKhV\n1X8Lm5U074PxjkGSvQ9KRaTATWfitdHUcupxR/PYTJtxXv+OsC9wAd7Jye8B/z4H09xo8zBelXoQ\n75zZR/DOGf4Z2I13Y6Mit6wAP8Q7b7kFqA7bzt8De9zjw2Hl1e7A7gV+wBtXno+5Dz8e4xyDX7jX\nuNn9E8vClv+Kez07cb0WXPlNeL1l9gJfCSufj/dB2QP8F5DuyjPc8z1u/nyfXv9VeFXdzcBG97gp\nmd4HExyDZHofXAC87l7rVuCrpxt3tI5NjLz+v7j3wFbgl7zRM8rXz4EN4WGMMWZCsXDqyRhjTAyz\nRGGMMWZCliiMMcZMyBKFMcaYCVmiMMYYMyFLFD5xl+d/Luz5syLyk7Dn3xGRz4tIlYSNNOvmfU1E\n/slNi4j8LzcS5C7xRiU9d5x9viDeaJqbRGS9uJEpTzP+p0L9wKeC62e+TkReF5G3jJr3ORHJCnve\nFYX9fVe8kVun7DMhIh8TkQ9O1fZPl4gsFZE14o1iullE3hs2b56MPZrr58Ub/XaziPxZROaGrTPm\naKZu3pdE5A4ZZzRYEVkmb4ycuklE3jVq/XtF5EoR+baI7HD7fyzsmoQ7wtbfKCIjZ/I+N44ffajt\noeBd8POomw4AG4A1YfPX4I38WEXYAIJu3tdwg8cBnwKeArLc8+vx+k1njLHPF3D9r4EP440v4/ux\nGOf43Ab8ZJx5B4CSsOddZ7ivAHAQWAtcN0WvJ8XvYzpBbIuAhW56Nt51PgXu+XijuV4X9p77OG+M\n5jruaKZu/iqglPFHg83ijQH7QlcNp4StvxFvZNjrw5b7JmOMgAqcD+z1+/gmwsNqFP55BW/IAoBz\n8S6M6XRXWKYD5+CNKDmZLwKfUtUeAFV9zm37jknWW4MbJExEssUbhO5V9wv+FleeJSKPul+Oj7lf\nftVu3gERKXHTnxeRre7xOVdWJSK1IvJj90v1OXcF6knccn8J+2U6x/0C/BZwi/tVmBm2/GfwvsxW\niciqsPJ/db9A14rITFdWKiK/dbWn9SJy5TjH4lpgG95YS7eHbfNrIvKgiKwWkYMicquIfEu8Mf6f\nEW8YjtC4/y+KyAbxaoahq2tfcDWVGuCzcnJN8CwR+ZOL+TURWSAiOe4YvOb2Efo/ZIvIH92yW8N/\n8YfFutS99tAv7MKwGL7p/re7ZFTtDEBVd6nqbjd9BO/LuVREBHgr8Bu36IN4VwujqqtC7zm8BBsa\nLuIGvB8gLaraijfY3woXSx6QpqrNwC1ue7jtv01ERFV79I0B+zIIG4dIRM4Bdqk3zMlzYcuF7z/c\n7cAjY5SbU2SJwifuAzkkInOAK/C+uNfhJY9qYIuqDrjFF4RXp4GPwYkPXraq7hu1+Rq85DORFcDv\n3fRX8IZEWIb3S/HbIpKN96uvVVWXAP8buGT0RkTkErzayXK8GtA/iMhFbvZC4Ieqei7QBvztGHF8\nH3hQVS8AfgV8T1U3Al/F+5W5VFV7w47b94AjeL/8r3PF2cBaVb0QeAn4B1f+H8C/q+qlbt8nTu2N\ncjveFfOPAf9PKAE4C/C+LG/Gu1J2laqeD/SGLft9vKGhLwFWAv8atn6aqlar6ugB/n7ljs2FeP//\nBqAPeJeqXoz3f/iO+7JeARxR1QtV9TzgmTFew8+BL7rjuAW4O2xeivvffm5U+ZuIyDK8+zfsJfKR\nVj+Cd78DGH80U4C3410RfNJyOmoUWxFZLiLb3Ov4WNj+bxzntf992P7DvRfv/2rOUMrki5gp9Are\nl8QVwL/hfXiuwPvQvBy23F71RpkEvF+6Z7DPX4l3njkHb5RS8KrxN4d+7eL9kpuDN9TEfwCo6lYR\n2TzG9q4CHlPVbhfb74C34A1Bsd996YN3aq1qjPUvB25107/Aq0mcqgHgybD9vMNNvx1Y4n3XApAn\nIjmqeqJNwx2Lm4DPq2qniKzD+1Uc2t7TqjooIlvwTnmEvqi2uNdzNnAe8LzbTxDvSz/k16ODFZFc\noFxVHwNQ1T5Xngr8vyJyNTCC936Y6fb1HRH5JvCkqq4etb18vFNFL7qiB/GGpggJDbw43v8gtJ0y\nvP/Bnao6EnbcxiUi78f7YXPNpAt7Ce9nky2k3nDb57oaxIMi8rQ7Rjfg/SgJ3/9XgCG8xBtevhzo\nUdWT2vfM6bFE4a+X8RLD+Xinng4D/wPoILIPVIeIdIvI/FG1ikuAF8dZ7Q68L4xv4/0SvhVvHJm/\nVdWd4QtG8kUxif6w6WHgTaeeomRQVUOnKIZ5430dAC4LfRGP4wagANjiXm8WXm0hlCj6AdwXZ/h+\nRtx+BNimqpcztu5TeB134J2/v8QlpwN4bU27xLv15U3A/xGRP6vqPaew3dD/IfzYnMTVTv+INybS\nWld8YqRV96v+pJFWReTteLXRa9Qb7RQ3/9qwTVfgtY2BNxLqx8OWqwTqZJxRbFW1VryOCueJyHa8\nZHgkbP8fAv4b8Law/0vIbVhtImrs1JO/XsF7o7e4864teF9al7t5kfg28L3QeXz34b0KeGi8FdyH\n6n8Dl4nIYrwRKD/tTnMQduroZeDvXNkSvIQ22mrgneK1Z2TjjXq6eozlxvMK3ocavC/KSNbtxLuF\n6GSeAz4deiJj9365HfioqlapahXe7TTfIWG9qiaxE+98/uVuH6kyTq+zEFXtxPuCfKdbJ93tLx9o\nckniOmCumz8b79fxL/H+3xeP2l470BrW/vABxv+h8CauVvUY8HNVDbVHhN4nY4606t4j9wE3q2r4\nMNVjjmbqjskOVR12y405Gqx4vaxS3D7m4t2b4QDeqbjwNqkVwP90+w+1lYTmBfDet9Y+ESVWo/DX\nFqCEk7/Ut+CNGHkswm18H693yRYRGca7Y9Ut4ef1x6KqvSLyHeALeD2nvgtsdh+y/XgJ7Ed4Vf/t\nwA68Bt/2Udt5TUQewBuNE7yeSq+L6+4YgU8DPxORLwDNjDq1MI77gWdE5EhYO8VYPgP80J0yS8Fr\nv/hYaKb7cl4RXqaq3SLyV+BvIgleVQdE5N14yTrf7ee7eMdqIh8A7hORe/BGEn4P3umTJ9xprhq8\nYw5egv62iIy4ZT8+xvbuBO51r2kfkR3HkL/Du5d7sfuVDvAhd9rwi8AjIvJ/8EY7/amb/22805f/\n5X5fHFLVm1W1RUS+jjfMN8A9ruzvObl94afAL0RkD9DCGz8WrgK+JCKDeLW2T6jqMRG5kTca1cEb\nDTWdN075rVXV0P/xauDwGG135jTZ6LFmXCISBFJVtU9EFuANSXx2WCO7MRERkeeBD+obt+A81fVf\nA5ar6mB0IzORsERhxuUaXVcBqXjn4r+oqmP1LjHGJDBLFMYYYyZkjdnGGGMmZInCGGPMhCxRGGOM\nmZAlCmOMMROyRGGMMWZC/z9Fb5KjGgy3HAAAAABJRU5ErkJggg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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QpoEJU8LoQd35p88ex//O3cgvnluScpdmS+uipNEMFmzYzcZdB5lwYq8WXe8F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\ngg==\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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wH6SLNN8VzCt76ywwhKm3f4DnS47xq9cPcqDWe6LeZ/2OwLoiMDcnhaX56Swp\nSGfFrEwWz0wfU3Zhc+KwwBCCbZXN5GckhpXVdLCc1HiWFqTzYukx/vmi+UPW21rRREJsFItmRv5g\nuLQgnXm5KfzX07uob+/hb6W1pCfG8i+XLoj4ssKVl57IvNwUXt5Xy6ffO2eyV+eE1NHTxyOvV/Dz\nV8qpa+smLSGG5UUZFGcnk5+RSHJcDPGxUfT0DdDW3Ud9WzeVTZ0caezkud01/OFN742+CbHeO8fn\n5KQwJzuZGekJRPm1vVk7xYnPAkMItlc2RaSb6mAXLMzlv1/YR0N7D1nJcUHrbKloYGl+BrFjeMfz\nSESE3376bL729E6+/ZdSAO7+8GlkJAVfl8l2yaLpPPDyAerbuiMapN/tHnm9go3l9bxQWkt7dx/z\nclO48rQZzJ8e/L0iCbHRJMRGk50Sf/xNhapKS1cf5XXtHKht40Bd+/G3GSbGRjM7O5n501NYPHNy\nMvGayLLAMIIjTZ0cbujk42cXR3zeF5ySy/ef38fLe2v50PL8d4yvqG9nW2Uz/3rZwogv2ycnNZ6f\n3LiC9Tuq2FbZxJozp+7Z3j8snclPXtrPn3dWc+PZsyZ7dU4Ibxyo50cvllHd0sXs7GQuPauIWWPI\nlisipCfGsqwwg2WFXntXU0cPB+raOVDbzoG6NnZXtbDuraO8sKeG9y/J47LFM6ZMzzYzOhYYRvDi\nnmMAXHBK5HMGLc1PZ1pyHC/sORY0MDy59Qgi8JEz3jku0q5ckseVS/LGfTnhODUvlXm5KazbdtQC\nwwiqmju5+08l/HF7FRlJsVy/qojFM9Mi0t3aJyMpjjOK4jijKBNVpaalm51Hm9lxpJn/enoXX3t6\nF/NyUzhrdhZ3fXAxMeNw1WvGhwWGEbxUeozCrMSIJK8bLCpKeN/CHJ4vOUb/gAZc1g8MKH/YWsl5\n87LJS0+M+LJPBMH62X/w9Jnc/9e9VDV3nrT7ZTjdff384pVyfvhCGQOqfOGi+WQmxUUkx9ZwRIQZ\n6QnMSE/g4lOnU9PSxY4jzWypaOTXGw7x/J5jXL+qiGtXFZKbalcRU52F8GF09fbzWlk9FyzMjeiZ\nlr8LT8mlubOXNw8Fvoxm48EGKhs7+egU6zY62f7h9Jmowp+2B0/ncTJ7YU8Nl97/Mt95ppT3Lsjm\nr19+H1+6ZMG4B4Vgpqd5AeIrly7kxrOKmJebwvee28u5/98LfOX32yg7NroXVZmJZVcMw3jjQD2d\nvf1ccEruuC1j9fwc4mKieODlA6yYlXk8AD25pZKU+BguWzxj3JZ9IpqdncyS/HTWbTvKp1Zb7ySA\n/bVt/N8/7ual0lrm5iTzyG/DxnEAABXeSURBVC2rJj1duo+XZj6db354CQdq2/jV6xU8tukQT26t\n5IrTZjAnO4WZGYFXftarafJZYBjGi3uOkRAbxTlzpo3bMtITY/nKpQv41vo9/H5LJdesLKS5s5f1\nO6r4wNKZJMZFj9uyT1T/cHoe31q/h701rSyYPrlpwSfLbzYcoqu3nxf2HOPv++uIjY7iytNmcPbc\naRxu6Ax6G26yzclJ4a4PLub2C+fxy9fK+dXfK1i/o5oF01O4cGEuRZP0ClnzThYYhqCqvFhay3vm\nZpMQO74H50+dN4cX9hzj6+t2oap8/6/76Ozt5zo7cwrq6hWF3P/cPn7y0n7uv3bZZK/OhBsYULZU\nNPDMrhrau/tYMSuTSxZNJzUhdrJXbUiDA1V+RhJfumQBbxyo59WyOn768gHm56Zw4ThenZvQWRvD\nEPbXtnOooYPzJ+CLGhUlfO+aZURFCV99cgfJ8TE8+blzj3cLNIGykuO48ewinn7rCAdDfKfFu8XW\nQ418+Mev8eTWI2Qlx/G58+fykTMKpnRQGEpCbDTnL8zlXy9byOWLZ3C0qZOfvXyAG3+xgY3lDZYX\naxLZFcMQnnqzEhEm7AwmPyORn924gt1VLdx0ziziY+wW0nA+vXoOa1+v4Ccv7efeq5dO9uqMu7Jj\nbXz3mVL+squa3NR4PraigGWFGePWKWIixcdE894FOZw9ZxobyuvZdLCBa372OsuLMrh19RwuWTTd\nurpOMAsMQTR39vKrv1dwxWkzyM+YuC6R587L5twp8g6EqS43LYHrzizk0Q2H+PzF8yf0/2kiHW3q\n5PO/fZMtFY3ExkRx0Sm5nDcvm/hxvr05GeJiolg9P4f7rlnGE1sO84tXy/nco1uZnhbPx1YUcvWK\nAoqzrR1iIlhgCOKR1w/S2t3HbRfMm+xVMcP4zPvm8puNh/jW+hJ+eN3yd8XZs09lYwcPvXqQX2+o\noH9AOXfuNN63MPekyHSaGBfNTecUc/1Zs3i+pIbHNh3mxy+V8cMXy1iUl8blp81g9fxsluSn25XE\nOHn3f8tGqb27jwdfLeeiU3JP6rwvU7FXy2AzMxL54sUL+M4zpZw7dxo3nHXiPw29vbKJn79Sfvy1\nqx9ens/s7GQyp2j+qvEw+Lt38anTObM4i9ho4c87q7nvub3c99xeUuNjKMhMZE5OCnNzUshNiz+e\nzM+6vIbHAsMgj26ooLGjl9sutKuFE8Hn3jeXNw7U8/X/3c3ywsxxyUI73rr7+nm+5BjfeaaU8rp2\n4mO8LtLnzp02ZRMaTrT0xFiuP6uIT62eQ31bN68fqOe1snqe3VVNiUvmlxAbRVFWksv8msyywoxx\n71H4bmWBwc/mgw3c99xeVs/PHpf3H5jIi4oS7r92GVd+/xU+8+vN/PITq5iXG/n0JZHW1z/AxoMN\n/HlHNf+7/ShNHb2kJ8Zy5WkzWFmcZQe0IAZfSSzJT2dJfjpNHT2U17VTUd/Bwfp2nq2p4dndNcRG\nC4tnpnNmcSYrZmWxsjiTbMvKGxILDM7uoy188uFN5KUnct81J1/f+BNZdko8D3x8Jbc8vIkP/eg1\nvnfN6VPuiXFV5UhTJ6/v9/rtv7y3lsaOXhJio7h00Qw+uqKAww0dAe81MKHJSIpjeVEcy93JXEdP\nH3Nyktl0sJEtBxtZ695BAd6T8ytmZXJGUSYLZ6SycEbqSdFuM1oh7RERuRz4PhAN/EJV7xk0Ph74\nFbACqAeuVdWDbtydwC1AP/B5VX1muHmKyGzgMWAasAW4SVV7wtvMofX2D/D0W0e5588lpMTH8Mgt\nq8hJtbOKE82ywgz+95/P47O/3sJnHtnCJYumc8t5szlrdtaEN0r3DyjVLV3srWll++FmtlU2sb2y\nibo272ucnRLHrGnJXHFaGgumpxIXE8WRxk4LChGSFBdDdXM3hZlJFGYm8YGleRxt6uRgfQcVDR2s\n31HFE1sqj9cvyEzklBmpzM1JIT8zkYLMRPIzksjPTDxpg8aIWy0i0cCPgEuASmCTiKxT1d1+1W4B\nGlV1noisAe4FrhWRRcAaYDEwE/iriPheDzbUPO8F7lfVx0Tkp27eP4nExg72P28e4bvPllLZ2Mmp\neWn84LrlFGQmjceiTIQM1Sh+/VlFzMxI5PHPnMOPXyzjkTcqeG53DYVZiayclcXpBenkZyYxIy2B\ntMQY4mOiSYiNIiE2mrjoKERgQGFAlQFVVEHd556+Abr6+unqHaCrt5/O3n6aO3tp6uihsb2Xps5e\n6tq6OdzQQWVjJ5WNHfT2ew9nCd47L4qykjhnbjazspLe8cYzM75ioqMompZ8POWGqtLY0UtNSxc1\nLV3Ex0ZTWt3Cy/vq6OkbCJg2MTaazKRYMpLiyEyOJSMxjsQ4992JiXYvNfK+R/Gx0cRHRxEbI8RE\nRREbHUVstBAbHUVMtBAXHUWMK/Mf9ur51YkSoqMk4IRG3XdyQBUFevoGaO7spbmzl4LMxIg/4BhK\nOFwFlKnqAQAReQy4CvAPDFcBd7nhJ4AfirdVVwGPqWo3UC4iZW5+BJuniJQAFwLXuzpr3XzHJTBU\nNnYwLTmOu/5hMRedOn4ZVM3ESYiN5suXLuSfLpjH028d4aXSWl4tq+Mp91rK8SB4XSzn5aawKC+N\nyxbPoCgridnZyZRUtVh7wRQjImQlx5GVHHf83ebnzJnGgCrt3X00dfTS2NFDY0cv7d19dPT00dHT\nz+GGTkp72ujtH6C3f4C+fqW3f4DxeD5bxPteKd4JynDW/uMq3rcgskkTQwkM+cBhv8+VwFlD1VHV\nPhFpxrsVlA+8MWha31tngs1zGtCkqn1B6gcQkVuBW93HNhEpDWFbglo3cpVsoG6s8we4IZyJI2Qc\n1yHs/ROuqbB/S4YeNen7Z4qz/TO8YffP+feGNe+gfbxP2BtoqvoA8MBELEtENqvqyolY1onI9s/w\nbP8Mz/bP8CZj/4Ty2OARoNDvc4ErC1pHRGKAdLxG6KGmHaq8Hshw8xhqWcYYY8ZRKIFhEzBfRGaL\nSBxeY/Lguy/rgJvd8NXAC+qlRlwHrBGReNfbaD6wcah5umledPPAzfPpsW+eMcaY0RrxVpJrM7gd\neAava+lDqrpLRL4BbFbVdcCDwCOucbkB70CPq/c4XkN1H3CbqvYDBJunW+RXgcdE5JvAm27ek21C\nblmdwGz/DM/2z/Bs/wxvwvePWM5zY4wx/iw1oTHGmAAWGIwxxgQ4KQODiBSKyIsisltEdonIF1x5\nlog8JyL73L+ZrlxE5L9FpExEtovIGX7zutnV3yciNw+1zBOJiCSIyEYR2eb2z9dd+WwR2eD2w+9c\nxwFc54LfufINIlLsN687XXmpiFw2OVs0PkQkWkTeFJE/us+2f/yIyEER2SEib4nIZldmvzFHRDJE\n5AkR2SMiJSJyzpTZP96j1ifXH5AHnOGGU4G9wCLg28AdrvwO4F43fCXwZ7yHEc8GNrjyLOCA+zfT\nDWdO9vZFYP8IkOKGY4ENbrsfB9a48p8Cn3PD/wT81A2vAX7nhhcB24B4YDawH4ie7O2L4H76MvAb\n4I/us+2fwP1zEMgeVGa/sbf3xVrgU244DsiYKvtn0nfOVPjD6xJ7CVAK5LmyPKDUDf8MuM6vfqkb\nfx3wM7/ygHrvhj8gCdiK92R6HRDjys8BnnHDzwDnuOEYV0+AO4E7/eZ1vN6J/of3jM3zeClc/ui2\n1/ZP4D4KFhjsN+ZtRzpQjusANNX2z0l5K8mfu6xfjndWPF1Vq9yoamC6Gw6WFiR/mPITnrtN8hZw\nDHgO72x2qHQlASlRAP+UKO/K/QP8/8C/Ab6sa8OlczkZ9w94qX6eFZEt4qWwAfuN+cwGaoFfutuR\nvxCRZKbI/jmpA4OIpABPAl9U1Rb/ceqF35O2L6+q9qvqMrwz41XAKZO8SlOGiHwAOKaqWyZ7Xaa4\n81T1DOAK4DYRea//yJP8NxYDnAH8RFWXA+14t46Om8z9c9IGBhGJxQsKj6rqH1xxjYjkufF5eGfL\nMPrUHu8aqtqE9zT6OQydrmS0KVFOdO8BPigiB/HeHXIh3rtFbP/4UdUj7t9jwFN4Jxj2G/NUApWq\nusF9fgIvUEyJ/XNSBgYREbwnqktU9T6/Uf6pPfzTcawDPu56BpwNNLvLvWeAS0Uk0/UeuNSVndBE\nJEdEMtxwIl77SwlDpysZbUqUE5qq3qmqBapajNeY/IKq3oDtn+NEJFlEUn3DeL+NndhvDABVrQYO\ni8hCV3QRXoaIqbF/JrsRZpIafs7Du0TbDrzl/q7Eu+/7PLAP+CuQ5eoL3ouF9gM7gJV+8/pHoMz9\nfXKyty1C+2cpXjqS7Xg/5q+58jl4B64y4PdAvCtPcJ/L3Pg5fvP6D7ffSoErJnvbxmFfnc/bvZJs\n/7y9XXPwelxtA3YB/+HK7Tf29nYtAza739n/4PUqmhL7x1JiGGOMCXBS3koyxhgzNAsMxhhjAlhg\nMMYYE8ACgzHGmAAWGIwxxgSwwHACEZH7ReSLfp+fEZFf+H3+noh8WUSKRWTnoGnvEpGvuGERkf90\n2Rj3ipdpdvEQy/yAe2R/m3jZaD8zxnUvFpHr/T5/QkR+GMJ054tIs8vQ6fu7eAzL/4SIzBxmfIyI\n1IrIPSHM67Mi8vFRLrvWrfseEflSqNOGu+zxIiLfcduyXUSe8j334sa9I2OsDJHR2I0LmlHUjYsV\nka1u+HI3zzIRucOvzoPu+7ldvGylKX7j8kTkWRFZJiKvu2VvF5Fr/eq84vfdOioi/zN+e+4EMdl9\nee1vVP2erwYed8NRwBbgdb/xr+NlXiwGdg6a9i7gK274dmA9kOQ+X4rXPzph0DSxwFGgwH2OBxaO\ncd3Px/X3d58/AfxwtNOFse9ewq/vd5DxVwCvuf0g4S5v0LyPbyteP/U6oHCyv09hbtOlvJ0w8F7e\nzgIaNGMsQ2Q0dp+DZhR1ny8AfuDmsR/v+Yg4twzf9Gl+9e/zzct9/iTwL8ACYL4rmwlUARlBtutJ\n4OOTvX8n+8+uGE4sf8dLTQGwGO/hs1b31GM8cCpeJtSRfBW4XVU7AFT1WTfvGwbVS8XL6VLv6nWr\naikcvwJ4wZ19PS8iRa78YRHxPf2LiLS5wXuA1e6szHfGPFNE/uLOFL89mh3h5v0/4iVo2yUuSZt4\nyf8eFpGd4r0L4EtufVYCj7rlJwaZ3XV4aS0O8fY+RkTucWe520Xku67M/+rr0yKyyZ2xPikiScOt\ns6rW4z2I5Et7cKN47754S0R+JiLRrvwWdzW3UUR+7ru6GrTsZSLyht9Zuy93/0sicq+bdq+IrA6y\n78Sd9fv207Wu/Hw3ve89AY+KiATZjmf17YSBb+ClYgC4CnjMfVfK3bauUtUqVd3qpm3Fe5I+32+a\ntW54LfAhv0VdjpduehVQpqoHVLUHLxXJVW5+Lb5tAhIJzC90OfBnVd2rqvtc/aN4qSZyBu2TNLz0\nJif9FYMFhhOI+0L3uYPwuXhXCBvwDmQrgR3uRwMw1+/y+C3gs3D8y5+sqgcGzX4zXrDxX14D3qP4\nFSLyWxG5QUR835kfAGtVdSnwKPDfI6z+HcArqrpMVe93ZcuAa4ElwLUiUjjEtKsl8FbSXFf+j6q6\nwm3750VkmptnvqqepqpLgF+q6hNu+25wy+/0n7mIJAAXA/8L/BYvSODm92FgsdvObwZZtz+o6pmq\nejrewe6W4XaC+79LALaLyKlu+9+jXsLCfuAG8W55/Rfe1d97GDqB4a+Ar7p12wH8H79xMaq6Cvji\noHKfj+Dtq9Pdtn9HXI4evGzDX8Q7+5/j1mE4/4h38IYQsn1KYEZjGDqjKHhXDC+NNF8R+aWb9hS8\n7yYuyC5U1d2Dlr8K76pj/6Dt+BDwvA5KqHkyssBw4vk7XlDwBYbX/T6/5ldvvzsILnMHnZ+OZWGq\n+im8PC4bga8AD7lR5+C9pAbgEbw0I6P1vKo2q2oXXp6YWUPUe8V/W1TV94P+vIhswztjLcTLNXQA\nmCMiPxCRy4FQfuQfAF50AeNJ4EPuoNIMdAEPishHgI4g057m7lHvwLviCtpWgxf4tuOdQf/YbfNF\nwApgkwveF+EdiFcBf1PVBlXtxUunEUBE0vFuhfzNFa0F/LOX+hJDbsG7tTjYecBv1cuiWwP8DTjT\njduoqpWqOoCXLibY9L71+A+gD+/kYEQyTEZjCMwoKiL5QIPvynY4qvpJvFtEJXjBFrx3iGzwr+eC\n3yN4qSMGCHQd3onBSc8Cw4nnNbwgsATvVtIbeAfpc/GCxrDcj7FdROYMGrUCL6dNsGl2uLP8S4CP\njrCIPtz3yl1dxA1Tt9tvuB+IEZEP+10ZrBxqQhE5H+9M9xx3tv4mXhtJI95Z8Et4V0m/GGoefq4D\nLhYvW+oWvHaAC92tklV4mS8/APwlyLQP492WWwJ8He9qIJjfuTP7c4F7RGQGXv6btX4Bb6Gq3hXC\n+obCt2/78W4HjmXaYacXkU/g7Zcb3AEdhsn2KcEzGsPQGUUv5+2EcCNmEVXVfrxbTL7v6BX4/Z+5\nq+U/4eVtemPQtmTj/V//Kdi2nmwsMJx4/o73Y2xwZ3sNeK8EPIcQAoPzHeC/fffaxevlcx5vXwHg\nylPcAdhnGVDhtx5r3PANwCtu+CBekAH4IF4DNkArXpvFsFT1Kb8D5eZhqqYDjaraISKn4N128f3A\no1T1SeA/8VIZD7l8d7BYDRSparF6GVNvA65zZ7fpqroe+BJewBksFahyB73BbTTBtm8z3hnrF/CS\npV0tIrluXbJEZBawCXifeG1HMQQJxqraDDT6tR/chHfWH6pX8K5iokUkB+9qI+TMru5q7N+ADw46\now+aMdbd/w+W0dg3TbCMor72BfD2yXzx3qsdh/fdW+faSua5dRK879weN81FeInocNM8BfzK3Voc\n7Gq8Tg5doe6Dd7PRnkmYybcDyCbwIL4D7x3NdSHO4wd4mRx3iEg/3r3Zqwbfe8c7o/03EfkZ0In3\nMpFPuHH/jPf2qX/FexPVJ135z4Gn3S2ev7hpwMsg2e/KHwYaQ1xXcG0Mfp+/idce8FkRKcHLTOo7\nA8x36+U76bnT/fsw8FMR6cS7yvBt64fx0mD7nyU/jddT5uvA710bhOC943mw/8K7XVHr/h0x+OH1\n4tkKfAsveD3r1rcXuE1V3xCRb+EdqBvwDnTNQeZzs9umJLxbaJ8MUmcoT+GdTGzDu3Xzb6pa7YJs\nKH6I1/PoOdc2/YaqflZVd4nI43i3Bvvc9vSLyHl4wWuH3//lv7ugew/wuIjcgnficY27lTdPVfeA\n9+Y7Ebkd7woiGnjILSsKWOsCvLjt+ZwLdl2uoRvgGrzgN81d6QB8QlV967LGrYcBy65qzFQkIimq\n2uauGJ7COxA+NdnrNVFcILlRVT87xulvxOtmbQf7MbDAYMwUJF7X2Ivx2iyeBb6g9mM1E8QCgzHG\nmADW+GyMMSaABQZjjDEBLDAYY4wJYIHBGGNMAAsMxhhjAvw/kjsribB38HoAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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pSyyaXZDGTfOn8tv3GjjWM+B0OCoIzpoA7Db9+4GVwG7gOWNMtYj8WERutmf7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\npQlAKaVilCYApZSKUZoAlFIqRv1/N5XkAMl/fKMAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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Tvvm7VazZW8u7Cy7n2ZU2x/Vg2VN9nEff2slVZ4zmV185N9rhGNMnIrJKVUvD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\nHyLoS1U/89TlAAAAAElFTkSuQmCC\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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7w74gmeERSdLYD0wOej3JlYVdR0SSgCygro9t+6xTRPLwmrB+HyhT1SZVbXHP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\nljSMMcZE7P8D+P/3a1yNGbMAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        },
        {
          "output_type": "display_data",
          "data": {
            "image/png": 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jGHbsNsduWPhT/GOx/vfYcha33LFvFv948GjEgueILR+x4LHY97G4O0NRZ8id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\nEZE09/8BsC9R/6d5V4IAAAAASUVORK5CYII=\n",
            "text/plain": [
              "<Figure size 432x288 with 1 Axes>"
            ]
          },
          "metadata": {
            "tags": []
          }
        }
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "mQDqb5FKcIaj",
        "colab_type": "text"
      },
      "source": [
        "# Submit predictions"
      ]
    },
    {
      "cell_type": "markdown",
      "metadata": {
        "id": "Ov__zuhYvlS3",
        "colab_type": "text"
      },
      "source": [
        "Convert samples to Metaculus distributions and submit:"
      ]
    },
    {
      "cell_type": "code",
      "metadata": {
        "id": "LzwGTAFZcIhw",
        "colab_type": "code",
        "colab": {}
      },
      "source": [
        "for question in questions:\n",
        "  if question.name in samples:\n",
        "    params = question.submit_from_samples(samples[question.name])\n",
        "    print(f\"Submitted Logistic{params} for {question.name}\")\n",
        "  else:\n",
        "    print(f\"No predictions for {question.name}\")"
      ],
      "execution_count": 0,
      "outputs": []
    }
  ]
}